Integrals 2301 to 2400

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3(d+e{x}^4)}{a+b{x}^4+c{x}^8}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3*(e*x^4+d)/(c*x^8+b*x^4+a),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $44$

Maxima [F(-2)]

Exception generated. $$\int \frac{d+e{x}^4}{x(a+b{x}^4+c{x}^8)}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*x^4+d)/x/(c*x^8+b*x^4+a),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $48$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3/(a+c/x^2+b/x)/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $61$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(a+c/x^2+b/x)/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $62$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(a+c/x^2+b/x)/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $63$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $64$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $65$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^2(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^2/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $66$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^3(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^3/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $67$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^4(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^4/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $68$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^5(d+ex)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^5/(e*x+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $69$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $70$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $71$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $72$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $73$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $74$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^2(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^2/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $75$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^3(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^3/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $76$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^4(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^4/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $77$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})x^5(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+c/x^2+b/x)/x^5/(e*x+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number $48$

Integral number in file $78$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^5}{a{x}^2+b{x}^3+c{x}^4}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^5/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $11$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^4}{a{x}^2+b{x}^3+c{x}^4}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^4/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $12$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{a{x}^2+b{x}^3+c{x}^4}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $13$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{a{x}^2+b{x}^3+c{x}^4}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $14$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{a{x}^2+b{x}^3+c{x}^4}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $15$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a{x}^2+b{x}^3+c{x}^4}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $16$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x(a{x}^2+b{x}^3+c{x}^4)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $17$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x^2(a{x}^2+b{x}^3+c{x}^4)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x^2/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $18$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^8}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^8/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $19$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^7}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^7/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $20$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^6}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^6/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $21$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^5}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^5/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $22$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^4}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^4/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $23$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $24$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $25$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $26$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $27$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x{(a{x}^2+b{x}^3+c{x}^4)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $28$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x\sqrt{a+bx+c{x}^2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x/(c*x^2+b*x+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $129$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x\sqrt{a+b{x}^2+c{x}^4}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x/(c*x^4+b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number $50$

Integral number in file $133$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{bx+c{x}^2+d{x}^3}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(d*x^3+c*x^2+b*x),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b*d-c^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number $51$

Integral number in file $26$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{bx+c(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(b*x+c*(e*x+d)^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*c*d*e+b>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number $51$

Integral number in file $489$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a+bx+c(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+b*x+c*(e*x+d)^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c*e^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number $51$

Integral number in file $490$

Maxima [F(-2)]

Exception generated. $$\int \frac{2-2x-x^2}{(2+d+dx+x^2)\sqrt{1+x^3}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(x^3+1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d^2-4*(d+2)>0)', see `assume?`
for more de

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $202$

Maxima [F(-2)]

Exception generated. $$\int \frac{2+2x-x^2}{(2-d+dx+x^2)\sqrt{1-x^3}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(-x^3+1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d^2-4*(2-d)>0)', see `assume?`
for more de

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $203$

Maxima [F(-2)]

Exception generated. $$\int \frac{2+2x-x^2}{(2-d+dx+x^2)\sqrt{-1+x^3}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(x^3-1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d^2-4*(2-d)>0)', see `assume?`
for more de

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $204$

Maxima [F(-2)]

Exception generated. $$\int \frac{2-2x-x^2}{(2+d+dx+x^2)\sqrt{-1-x^3}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(-x^3-1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d^2-4*(d+2)>0)', see `assume?`
for more de

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $205$

Maxima [F(-2)]

Exception generated. $$\int \sqrt{(b-x)(-a+x)}dx=\text{Exception raised: ValueError}$$

[In]

integrate(((b-x)*(-a+x))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for mor
e details)Is

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $259$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{(b-x)(-a+x)}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/((b-x)*(-a+x))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for mor
e details)Is

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $261$

Maxima [F(-2)]

Exception generated. $$\int x^5\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^5*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $263$

Maxima [F(-2)]

Exception generated. $$\int x^3\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $264$

Maxima [F(-2)]

Exception generated. $$\int x\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $265$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}{x}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $266$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}{x^3}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $267$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}{x^5}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^5,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $268$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}{x^7}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^7,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $269$

Maxima [F(-2)]

Exception generated. $$\int x^5{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^5*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $276$

Maxima [F(-2)]

Exception generated. $$\int x^3{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $277$

Maxima [F(-2)]

Exception generated. $$\int x{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $278$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}{x}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $279$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}{x^3}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $280$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}{x^5}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^5,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $281$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}{x^7}dx=\text{Exception raised: ValueError}$$

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^7,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $282$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^5}{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^5/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $296$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $297$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $298$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $299$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x^3\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $300$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x^5\sqrt{\frac{e(a+b{x}^2)}{c+d{x}^2}}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $301$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^5}{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^5/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $307$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^3/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $308$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $309$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $310$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x^3{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $311$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x^5{\left(\frac{e(a+b{x}^2)}{c+d{x}^2}\right)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $312$

Maxima [F(-2)]

Exception generated. $$\int {(d+ex+f\sqrt{a+bx+\frac{e^2{x}^2}{f^2}})}^{3}dx=\text{Exception raised: ValueError}$$

[In]

integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b^2*f^2-4*a*e^2>0)', see `assu
me?` for mor

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $473$

Maxima [F(-2)]

Exception generated. $$\int {(d+ex+f\sqrt{a+bx+\frac{e^2{x}^2}{f^2}})}^{2}dx=\text{Exception raised: ValueError}$$

[In]

integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b^2*f^2-4*a*e^2>0)', see `assu
me?` for mor

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $474$

Maxima [F(-2)]

Exception generated. $$\int (d+ex+f\sqrt{a+bx+\frac{e^2{x}^2}{f^2}})dx=\text{Exception raised: ValueError}$$

[In]

integrate(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b^2*f^2-4*a*e^2>0)', see `assu
me?` for mor

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $475$

Maxima [F(-2)]

Exception generated. $$\int (\frac{x}{{(a+b{x}^2)}^{3/2}}+\frac{x}{(1+x^2)\sqrt{a+b{x}^2}})dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $687$

Maxima [F(-2)]

Exception generated. $$\int \frac{x(1+a+x^2+b{x}^2)}{(1+x^2){(a+b{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x*(b*x^2+x^2+a+1)/(x^2+1)/(b*x^2+a)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $688$

Maxima [F(-2)]

Exception generated. $$\int (\frac{x}{{(a+b{x}^2)}^{5/2}}+\frac{x}{{(a+b{x}^2)}^{3/2}}+\frac{x}{(1+x^2)\sqrt{a+b{x}^2}})dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(b*x^2+a)^(5/2)+x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $689$

Maxima [F(-2)]

Exception generated. $$\int \frac{x(1+a+a^2+x^2+a{x}^2+b{x}^2+2ab{x}^2+b{x}^4+b^2{x}^4)}{(1+x^2){(a+b{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x*(b^2*x^4+b*x^4+2*a*b*x^2+a*x^2+b*x^2+a^2+x^2+a+1)/(x^2+1)/(b*x^2+a)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $690$

Maxima [F(-2)]

Exception generated. $$\int \frac{-1+x^2}{\sqrt{a-b+\frac{b}{x^2}}{x}^3}dx=\text{Exception raised: ValueError}$$

[In]

integrate((x^2-1)/x^3/(a-b+b/x^2)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $811$

Maxima [F(-2)]

Exception generated. $$\int \frac{-1+x^2}{\sqrt{a+b(-1+\frac{1}{x^2})}{x}^3}dx=\text{Exception raised: ValueError}$$

[In]

integrate((x^2-1)/x^3/(a+b*(-1+1/x^2))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $812$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+bx+c{x}^2}{(d+ex{)}^3\sqrt{-1+x^2}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((c*x^2+b*x+a)/(e*x+d)^3/(x^2-1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((e-d)*(e+d)>0)', see `assume?`
for more de

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $832$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{(a+bx)(c+dx)}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/((b*x+a)*(d*x+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $955$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{(a+bx)(c-dx)}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/((b*x+a)*(-d*x+c))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for
more detail

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number $52$

Integral number in file $956$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a+b{e}^x+c{e}^{2x}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+b*exp(x)+c*exp(2*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $509$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{a+b{e}^x+c{e}^{2x}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(a+b*exp(x)+c*exp(2*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $514$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{a+b{e}^x+c{e}^{2x}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(a+b*exp(x)+c*exp(2*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $519$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a+b{f}^{c+dx}+c{f}^{2c+2dx}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $521$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a+b{f}^{g+hx}+c{f}^{2(g+hx)}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $522$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{a+b{f}^{c+dx}+c{f}^{2c+2dx}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $524$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{a+b{f}^{c+dx}+c{f}^{2c+2dx}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $526$

Maxima [F(-2)]

Exception generated. $$\int \frac{d+e{f}^{g+hx}}{a+b{f}^{g+hx}+c{f}^{2g+2hx}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $527$

Maxima [F(-2)]

Exception generated. $$\int \frac{d+e{f}^{g+hx}}{a+b{f}^{g+hx}+c{f}^{2(g+hx)}}dx=\text{Exception raised: ValueError}$$

[In]

integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $528$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a+b{e}^{-x}+c{e}^x}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+b/exp(x)+c*exp(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b*c-a^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $537$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{a+b{e}^{-x}+c{e}^x}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x/(a+b/exp(x)+c*exp(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-4*b*c>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $538$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{a+b{e}^{-x}+c{e}^x}dx=\text{Exception raised: ValueError}$$

[In]

integrate(x^2/(a+b/exp(x)+c*exp(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-4*b*c>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $539$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{a+b{f}^{-c-dx}+c{f}^{c+dx}}dx=\text{Exception raised: ValueError}$$

[In]

integrate(1/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b*c-a^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number $55$

Integral number in file $540$