Integrals 201 to 300

Fricas [F(-2)]

Exception generated. \[ \int x \left (a+b x^n+c x^{2 n}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(577\)

Fricas [F(-2)]

Exception generated. \[ \int \left (a+b x^n+c x^{2 n}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(578\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^n+c x^{2 n}\right )^{3/2}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(580\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^n+c x^{2 n}\right )^{3/2}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(581\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{\sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(582\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(583\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(584\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(585\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(587\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(588\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(589\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(590\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(591\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(592\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(594\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(595\)

Fricas [F(-2)]

Exception generated. \[ \int (d x)^m \left (a+b x^n+c x^{2 n}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(602\)

Fricas [F(-2)]

Exception generated. \[ \int (d x)^m \sqrt {a+b x^n+c x^{2 n}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(603\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(d x)^m}{\sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(604\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(d x)^m}{\left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(605\)

Fricas [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right ) \sqrt {a+b x^n+c x^{2 n}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(85\)

Fricas [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(86\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {d+e x^n}{\sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(87\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(88\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {d+e x^n}{\left (a+b x^n+c x^{2 n}\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(89\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1+\frac {q}{2}}}{\sqrt {b x^n+c x^{2 n-q}+a x^q}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^(-1+1/2*q)/(b*x^n+c*x^(2*n-q)+a*x^q)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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 \(140\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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

Test file number \(51\)

Integral number in file \(136\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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

Test file number \(51\)

Integral number in file \(137\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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

Test file number \(51\)

Integral number in file \(139\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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

Test file number \(51\)

Integral number in file \(140\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

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

Test file number \(51\)

Integral number in file \(141\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (2^{2/3}-x\right ) \sqrt {-1+x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(2^(2/3)-x)/(x^3-1)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

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

Test file number \(52\)

Integral number in file \(3\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (2^{2/3}+x\right ) \sqrt {-1-x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(2^(2/3)+x)/(-x^3-1)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

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

Test file number \(52\)

Integral number in file \(4\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {2+3 x}{\left (2^{2/3}-x\right ) \sqrt {-1+x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

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

Test file number \(52\)

Integral number in file \(54\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+\sqrt {3}+x}{(c+d x) \sqrt {-1-x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

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

Test file number \(52\)

Integral number in file \(147\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1-\sqrt {3}+x}{(c+d x) \sqrt {-1-x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

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

Test file number \(52\)

Integral number in file \(151\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {c-d x}{(c+d x) \sqrt [3]{2 c^3+d^3 x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

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

Test file number \(52\)

Integral number in file \(172\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (c \sqrt {a+b x^2}\right )^{3/2}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Shouldn not  happen

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

Test file number \(52\)

Integral number in file \(258\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a x^{2 n}}}{\sqrt {1+x^n}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^(2*n))^(1/2)/(1+x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(52\)

Integral number in file \(393\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a x^n}}{\sqrt {1+x^n}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^n)^(1/2)/(1+x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(52\)

Integral number in file \(394\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a x^{n/2}}}{\sqrt {1+x^n}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^(1/2*n))^(1/2)/(1+x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(52\)

Integral number in file \(395\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {\sqrt {a x^{2 n}}}{\sqrt {1+x^n}}+\frac {2 x^{-n} \sqrt {a x^{2 n}}}{(2+n) \sqrt {1+x^n}}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^(2*n))^(1/2)/(1+x^n)^(1/2)+2*(a*x^(2*n))^(1/2)/(2+n)/(x^n)/(1+x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

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

Test file number \(52\)

Integral number in file \(396\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a c+b c x^3+d \sqrt {a+b x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   Not integrable (provided residues have n
o relations)

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

Test file number \(52\)

Integral number in file \(559\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {\frac {x^n}{1+x^n}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^n/(1+x^n))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

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

Test file number \(52\)

Integral number in file \(1008\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}}\right )^n}{d f+(e f+d g) x+e g x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^n/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   alglogextint: unimplemented

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(543\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}}\right )^n}{d^2-e^2 x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^n/(-e^2*x^2+d^2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   alglogextint: unimplemented

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(550\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+e^x}{\sqrt {e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+exp(x))/(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(732\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {f^x} (a+b x)^2 \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(736\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {1}{\sqrt {e^x+x}}+\frac {e^x}{\sqrt {e^x+x}}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(x)/(exp(x)+x)^(1/2)+1/(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(744\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {\left (1+e^x\right ) x}{\sqrt {e^x+x}}+2 \sqrt {e^x+x}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+exp(x))*x/(exp(x)+x)^(1/2)+2*(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(745\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sqrt {e^x+x}}+\frac {e^x x}{\sqrt {e^x+x}}+2 \sqrt {e^x+x}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(exp(x)+x)^(1/2)+exp(x)*x/(exp(x)+x)^(1/2)+2*(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(746\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+e^x\right ) x}{\sqrt {e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+exp(x))*x/(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(747\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sqrt {e^x+x}}+\frac {e^x x}{\sqrt {e^x+x}}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(exp(x)+x)^(1/2)+exp(x)*x/(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(748\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {e^x x}{\sqrt {e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(x)*x/(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(749\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2 \left (5 e^x+3 x^2\right )}{5 \sqrt {5 e^x+x^3}}+\frac {4}{5} x \sqrt {5 e^x+x^3}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/5*x^2*(5*exp(x)+3*x^2)/(5*exp(x)+x^3)^(1/2)+4/5*x*(5*exp(x)+x^3)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(750\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {e^x x^2}{\sqrt {5 e^x+x^3}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(x)*x^2/(5*exp(x)+x^3)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(751\)

Fricas [F(-2)]

Exception generated. \[ \int -\frac {1+e^x}{\sqrt [3]{e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-1-exp(x))/(exp(x)+x)^(1/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(752\)

Fricas [F(-2)]

Exception generated. \[ \int \left (-\frac {1}{\sqrt [3]{e^x+x}}+\frac {x}{\sqrt [3]{e^x+x}}-\left (e^x+x\right )^{2/3}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(-1/(exp(x)+x)^(1/3)+x/(exp(x)+x)^(1/3)-(exp(x)+x)^(2/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(753\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt [3]{e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/(exp(x)+x)^(1/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(754\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {5 x+e^x (3+2 x)}{\sqrt [3]{e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((5*x+exp(x)*(3+2*x))/(exp(x)+x)^(1/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(755\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {2 x}{\sqrt [3]{e^x+x}}+\frac {2 e^x x}{\sqrt [3]{e^x+x}}+3 \left (e^x+x\right )^{2/3}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(2*x/(exp(x)+x)^(1/3)+2*exp(x)*x/(exp(x)+x)^(1/3)+3*(exp(x)+x)^(2/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(756\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/(exp(x)+x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(759\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {5 x^2+3 \sqrt [3]{e^x+x}+e^x \left (3 x+2 x^2\right )}{x \sqrt [3]{e^x+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((5*x^2+3*(exp(x)+x)^(1/3)+exp(x)*(2*x^2+3*x))/x/(exp(x)+x)^(1/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(770\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b \log \left (c x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(113\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 \sqrt {\log \left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(114\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 \sqrt {\log \left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(115\)

Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {\log \left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(116\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {\log \left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(117\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\log \left (a x^n\right )}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(log(a*x^n)^(1/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(119\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\log \left (a x^n\right )}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(log(a*x^n)^(1/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(120\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 \log ^{\frac {3}{2}}\left (a x^n\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(121\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 \log ^{\frac {3}{2}}\left (a x^n\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(122\)

Fricas [F(-2)]

Exception generated. \[ \int x \log ^{\frac {3}{2}}\left (a x^n\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(123\)

Fricas [F(-2)]

Exception generated. \[ \int \log ^{\frac {3}{2}}\left (a x^n\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(124\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\log ^{\frac {3}{2}}\left (a x^n\right )}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(log(a*x^n)^(3/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(126\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\log ^{\frac {3}{2}}\left (a x^n\right )}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(log(a*x^n)^(3/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(127\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{\sqrt {\log \left (a x^n\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(128\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\sqrt {\log \left (a x^n\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(129\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {\log \left (a x^n\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(130\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {\log \left (a x^n\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(131\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \sqrt {\log \left (a x^n\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^2/log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(133\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \sqrt {\log \left (a x^n\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^3/log(a*x^n)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(134\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{\log ^{\frac {3}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(135\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\log ^{\frac {3}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(136\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\log ^{\frac {3}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(137\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\log ^{\frac {3}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(138\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \log ^{\frac {3}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^2/log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(140\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \log ^{\frac {3}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^3/log(a*x^n)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(141\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{\log ^{\frac {5}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/log(a*x^n)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(142\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\log ^{\frac {5}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/log(a*x^n)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(143\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\log ^{\frac {5}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/log(a*x^n)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(144\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\log ^{\frac {5}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/log(a*x^n)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(145\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \log ^{\frac {5}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^2/log(a*x^n)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(147\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \log ^{\frac {5}{2}}\left (a x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^3/log(a*x^n)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.2-d_x-^m-a+b_log-c_x^n-^p.txt

Test file number \(56\)

Integral number in file \(148\)

Fricas [F(-2)]

Exception generated. \[ \int (d+e x) \sqrt {a+b \log \left (c x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test file number \(57\)

Integral number in file \(124\)

Fricas [F(-2)]

Exception generated. \[ \int (d+e x)^2 \sqrt {a+b \log \left (c x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test file number \(57\)

Integral number in file \(125\)

Fricas [F(-2)]

Exception generated. \[ \int (d+e x)^3 \sqrt {a+b \log \left (c x^n\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test file number \(57\)

Integral number in file \(126\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \log \left (c x^n\right )}}{d+e x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test file number \(57\)

Integral number in file \(127\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \log \left (c x^n\right )}}{(d+e x)^2} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test file number \(57\)

Integral number in file \(128\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \log \left (c x^n\right )}}{(d+e x)^3} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test file number \(57\)

Integral number in file \(129\)