Integrals 1301 to 1400

Fricas [F(-2)]

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

[In]

integrate(x/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1105\)

Fricas [F(-2)]

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

[In]

integrate(1/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1106\)

Fricas [F(-2)]

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

[In]

integrate(1/x/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1107\)

Fricas [F(-2)]

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

[In]

integrate(1/x^2/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1108\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1109\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^4 \left (c+a^2 c x^2\right )^{5/2} \arctan (a x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^4/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(5/2),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1110\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.5_u-a+b_arctan-c+d_x-^p.txt

Test file number \(151\)

Integral number in file \(23\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(128\)

Fricas [F(-2)]

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

[In]

integrate(arcsec(a*x^n)/x,x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.2_Inverse_secant_functions.txt

Test file number \(157\)

Integral number in file \(17\)

Fricas [F(-2)]

Exception generated. \[ \int \sec ^{-1}\left (c e^{a+b x}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arcsec(c*exp(b*x+a)),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.2_Inverse_secant_functions.txt

Test file number \(157\)

Integral number in file \(42\)

Fricas [F(-2)]

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

[In]

integrate(arccsc(a*x^n)/x,x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.2_Inverse_cosecant_functions.txt

Test file number \(159\)

Integral number in file \(16\)

Fricas [F(-2)]

Exception generated. \[ \int \csc ^{-1}\left (c e^{a+b x}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccsc(c*exp(b*x+a)),x, algorithm="fricas")

[Out]

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

input file name 5_Inverse_trig_functions/5.6_Inverse_cosecant/5.6.2_Inverse_cosecant_functions.txt

Test file number \(159\)

Integral number in file \(40\)

Fricas [F(-2)]

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

[In]

integrate(sinh(x)^(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(67\)

Fricas [F(-2)]

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

[In]

integrate(x/sinh(x)^(3/2)-x*sinh(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(68\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sinh ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\sinh (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sinh(x)^(7/2)+3/5*x*sinh(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(70\)

Fricas [F(-2)]

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

[In]

integrate(x^2/sinh(x)^(3/2)-x^2*sinh(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(71\)

Fricas [F(-2)]

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

[In]

integrate(x/csch(x)^(3/2)+1/3*x*csch(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(92\)

Fricas [F(-2)]

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

[In]

integrate(x/csch(x)^(5/2)+3/5*x/csch(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(93\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\text {csch}^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\text {csch}(x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/csch(x)^(7/2)-5/21*x*csch(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(94\)

Fricas [F(-2)]

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

[In]

integrate(x^2/csch(x)^(3/2)+1/3*x^2*csch(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(95\)

Fricas [F(-2)]

Exception generated. \[ \int x^4 \sqrt {a+i a \sinh (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4*(a+I*a*sinh(f*x+e))^(1/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(118\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 \sqrt {a+i a \sinh (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(a+I*a*sinh(f*x+e))^(1/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(119\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(120\)

Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {a+i a \sinh (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(121\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \sinh (e+f x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(122\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(123\)

Fricas [F(-2)]

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

[In]

integrate((a+I*a*sinh(f*x+e))^(1/2)/x^3,x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(124\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 (a+i a \sinh (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(a+I*a*sinh(f*x+e))^(3/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(125\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 (a+i a \sinh (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*(a+I*a*sinh(f*x+e))^(3/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(126\)

Fricas [F(-2)]

Exception generated. \[ \int x (a+i a \sinh (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(a+I*a*sinh(f*x+e))^(3/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(127\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(a+i a \sinh (e+f x))^{3/2}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*sinh(f*x+e))^(3/2)/x,x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(128\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(a+i a \sinh (e+f x))^{3/2}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*sinh(f*x+e))^(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 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(129\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 (a+i a \sinh (c+d x))^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(a+I*a*sinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(130\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 (a+i a \sinh (c+d x))^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*(a+I*a*sinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(131\)

Fricas [F(-2)]

Exception generated. \[ \int x (a+i a \sinh (c+d x))^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(a+I*a*sinh(d*x+c))^(5/2),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(132\)

Fricas [F(-2)]

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

[In]

integrate((a+I*a*sinh(d*x+c))^(5/2)/x,x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(133\)

Fricas [F(-2)]

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

[In]

integrate((a+I*a*sinh(d*x+c))^(5/2)/x^2,x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(134\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(a+i a \sinh (c+d x))^{5/2}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*sinh(d*x+c))^(5/2)/x^3,x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(135\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{a+i a \sinh (e+f x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*sinh(f*x+e))^(1/3)/x,x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.1-c+d_x-^m-a+b_sinh-^n.txt

Test file number \(160\)

Integral number in file \(150\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \sinh ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a+b*sinh(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(267\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\coth (x)}{\sqrt {a+b \sinh ^3(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   failed of mode Union(SparseUnivariatePol
ynomial(Expression(Integer)),failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(Integer))

input file name 6_Hyperbolic_functions/6.1_Hyperbolic_sine/6.1.7_hyper^m-a+b_sinh^n-^p.txt

Test file number \(164\)

Integral number in file \(522\)

Fricas [F(-2)]

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

[In]

integrate(cosh(x)^(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(70\)

Fricas [F(-2)]

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

[In]

integrate(x/cosh(x)^(3/2)+x*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(71\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\cosh ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\cosh (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/cosh(x)^(7/2)+3/5*x*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(73\)

Fricas [F(-2)]

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

[In]

integrate(x^2/cosh(x)^(3/2)+x^2*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(74\)

Fricas [F(-2)]

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

[In]

integrate(x/sech(x)^(3/2)-1/3*x*sech(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(95\)

Fricas [F(-2)]

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

[In]

integrate(x/sech(x)^(5/2)-3/5*x/sech(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(96\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\text {sech}^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\text {sech}(x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sech(x)^(7/2)-5/21*x*sech(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(97\)

Fricas [F(-2)]

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

[In]

integrate(x^2/sech(x)^(3/2)-1/3*x^2*sech(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(98\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(121\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(122\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(123\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(124\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(125\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(126\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 \sqrt {a+a \cosh (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(a+a*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(127\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a+a*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(128\)

Fricas [F(-2)]

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

[In]

integrate(x*(a+a*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(129\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+a \cosh (x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(130\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(131\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(132\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(133\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(134\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(135\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(136\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cosh(x))^(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(137\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cosh(x))^(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(138\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.1-c+d_x-^m-a+b_cosh-^n.txt

Test file number \(165\)

Integral number in file \(149\)

Fricas [F(-2)]

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

[In]

integrate(x/cosh(x)^(3/2)+x*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.5_Hyperbolic_cosine_functions.txt

Test file number \(169\)

Integral number in file \(329\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\cosh ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\cosh (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/cosh(x)^(7/2)+3/5*x*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.5_Hyperbolic_cosine_functions.txt

Test file number \(169\)

Integral number in file \(331\)

Fricas [F(-2)]

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

[In]

integrate(x^2/cosh(x)^(3/2)+x^2*cosh(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 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.5_Hyperbolic_cosine_functions.txt

Test file number \(169\)

Integral number in file \(332\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cosh ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a+b*cosh(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.7_hyper^m-a+b_cosh^n-^p.txt

Test file number \(170\)

Integral number in file \(64\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b \cosh ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a-b*cosh(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.7_hyper^m-a+b_cosh^n-^p.txt

Test file number \(170\)

Integral number in file \(67\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\tanh (x)}{\sqrt {a+b \cosh ^3(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   failed of mode Union(SparseUnivariatePol
ynomial(Expression(Integer)),failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(Integer))

input file name 6_Hyperbolic_functions/6.2_Hyperbolic_cosine/6.2.7_hyper^m-a+b_cosh^n-^p.txt

Test file number \(170\)

Integral number in file \(82\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(16\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(17\)

Fricas [F(-2)]

Exception generated. \[ \int (c+d x) \sqrt {b \tanh (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(18\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {c+d x}{\sqrt {b \tanh (e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(19\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(20\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(21\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(22\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(23\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(24\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(25\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {b \tanh (e+f x)}}{c+d x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(26\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(c+d x) \sqrt {b \tanh (e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(27\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(c+d x) (b \tanh (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.3_Hyperbolic_tangent/6.3.1-c+d_x-^m-a+b_tanh-^n.txt

Test file number \(171\)

Integral number in file \(28\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(51\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(52\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(53\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(54\)

Fricas [F(-2)]

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

[In]

integrate((b*coth(d*x+c)^m)^(4/3),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(55\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(56\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(57\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(58\)

Fricas [F(-2)]

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

[In]

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

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(59\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (b \coth ^m(c+d x)\right )^{4/3}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(b*coth(d*x+c)^m)^(4/3),x, algorithm="fricas")

[Out]

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

input file name 6_Hyperbolic_functions/6.4_Hyperbolic_cotangent/6.4.2_Hyperbolic_cotangent_functions.txt

Test file number \(175\)

Integral number in file \(60\)

Fricas [F(-2)]

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

[In]

integrate(x/sech(x)^(3/2)-1/3*x*sech(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 6_Hyperbolic_functions/6.5_Hyperbolic_secant/6.5.1-c+d_x-^m-a+b_sech-^n.txt

Test file number \(177\)

Integral number in file \(13\)

Fricas [F(-2)]

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

[In]

integrate(x/sech(x)^(5/2)-3/5*x/sech(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 6_Hyperbolic_functions/6.5_Hyperbolic_secant/6.5.1-c+d_x-^m-a+b_sech-^n.txt

Test file number \(177\)

Integral number in file \(14\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\text {sech}^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\text {sech}(x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sech(x)^(7/2)-5/21*x*sech(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 6_Hyperbolic_functions/6.5_Hyperbolic_secant/6.5.1-c+d_x-^m-a+b_sech-^n.txt

Test file number \(177\)

Integral number in file \(15\)