Integrals 5201 to 5300

Giac [F(-2)]

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

integrate(x^3/sech(2*log(c*x))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly exception caught Unable to 
 convert to real %%{poly1[1.0000000000000000000000000000000,0.000000000000 
000000000
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/314_6.5.3

Test file number \(314\)

Integral number in file \(160\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {\text {sech}(2 \log (c x))}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x/sech(2*log(c*x))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly exception caught Unable to 
 convert to real %%{poly1[1.0000000000000000000000000000000,0.000000000000 
000000000
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/314_6.5.3

Test file number \(314\)

Integral number in file \(162\)

Giac [F(-2)]

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

integrate(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(26\)

Giac [F(-2)]

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

integrate(sinh(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(28\)

Giac [F(-2)]

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

integrate(csch(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(29\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\text {csch}^3(c+d x)}{a+b \text {sech}^2(c+d x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(csch(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(31\)

Giac [F(-2)]

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

integrate(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(34\)

Giac [F(-2)]

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

integrate(sinh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(36\)

Giac [F(-2)]

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

integrate(csch(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(37\)

Giac [F(-2)]

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

integrate(csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(39\)

Giac [F(-2)]

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

integrate(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(42\)

Giac [F(-2)]

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

integrate(sinh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(44\)

Giac [F(-2)]

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

integrate(csch(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(45\)

Giac [F(-2)]

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

integrate(csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(47\)

Giac [F(-2)]

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

integrate(cosh(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(74\)

Giac [F(-2)]

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

integrate(cosh(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(76\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(77\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(79\)

Giac [F(-2)]

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

integrate(sech(d*x+c)^5/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(81\)

Giac [F(-2)]

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

integrate(cosh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(83\)

Giac [F(-2)]

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

integrate(cosh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(85\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(86\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(88\)

Giac [F(-2)]

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

integrate(sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(90\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\text {sech}^7(c+d x)}{\left (a+b \text {sech}^2(c+d x)\right )^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(92\)

Giac [F(-2)]

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

integrate(cosh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(94\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(95\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(97\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(99\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\text {sech}^7(c+d x)}{\left (a+b \text {sech}^2(c+d x)\right )^3} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(101\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tanh ^5(c+d x)}{a+b \text {sech}^2(c+d x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(138\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(140\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(142\)

Giac [F(-2)]

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

integrate(coth(d*x+c)/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(144\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\coth ^3(c+d x)}{a+b \text {sech}^2(c+d x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(coth(d*x+c)^3/(a+b*sech(d*x+c)^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(146\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(148\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(150\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(152\)

Giac [F(-2)]

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

integrate(coth(d*x+c)/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(154\)

Giac [F(-2)]

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

integrate(coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(156\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tanh ^5(c+d x)}{\left (a+b \text {sech}^2(c+d x)\right )^3} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(159\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(161\)

Giac [F(-2)]

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

integrate(tanh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(163\)

Giac [F(-2)]

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

integrate(coth(d*x+c)/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(165\)

Giac [F(-2)]

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

integrate(coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(167\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {sech}^2(x)} \tanh ^5(x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^5,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(176\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {sech}^2(x)} \tanh ^4(x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^4,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(177\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {sech}^2(x)} \tanh ^3(x) \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(178\)

Giac [F(-2)]

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

integrate((a+b*sech(x)^2)^(1/2)*tanh(x)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(179\)

Giac [F(-2)]

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

integrate((a+b*sech(x)^2)^(1/2)*tanh(x),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(180\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionDegree 
mismatch
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(181\)

Giac [F(-2)]

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

integrate(coth(x)*(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionDegree 
mismatch
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(182\)

Giac [F(-2)]

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

integrate(coth(x)^2*(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(183\)

Giac [F(-2)]

Exception generated. \[ \int \coth ^3(x) \sqrt {a+b \text {sech}^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(184\)

Giac [F(-2)]

Exception generated. \[ \int \coth ^4(x) \sqrt {a+b \text {sech}^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(coth(x)^4*(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(185\)

Giac [F(-2)]

Exception generated. \[ \int \coth ^5(x) \sqrt {a+b \text {sech}^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(coth(x)^5*(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(186\)

Giac [F(-2)]

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

integrate((a+b*sech(x)^2)^(3/2)*tanh(x)^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(187\)

Giac [F(-2)]

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

integrate((a+b*sech(x)^2)^(3/2)*tanh(x)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(188\)

Giac [F(-2)]

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

integrate((a+b*sech(x)^2)^(3/2)*tanh(x),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(189\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(190\)

Giac [F(-2)]

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

integrate(coth(x)*(a+b*sech(x)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to divide, perhaps due to rounding error%%%{2048,[4 
,6]%%%}+%
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(191\)

Giac [F(-2)]

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

integrate(coth(x)^2*(a+b*sech(x)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to divide, perhaps due to rounding error%%%{2048,[4 
,6]%%%}+%
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(192\)

Giac [F(-2)]

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

integrate((a+b*sech(d*x+c)^2)^(5/2),x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(193\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tanh ^5(x)}{\sqrt {a+b \text {sech}^2(x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tanh(x)^5/(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(194\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tanh ^4(x)}{\sqrt {a+b \text {sech}^2(x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tanh(x)^4/(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(195\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tanh ^3(x)}{\sqrt {a+b \text {sech}^2(x)}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(196\)

Giac [F(-2)]

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

integrate(tanh(x)^2/(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(197\)

Giac [F(-2)]

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

integrate(tanh(x)/(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(198\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(199\)

Giac [F(-2)]

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

integrate(coth(x)/(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(200\)

Giac [F(-2)]

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

integrate(coth(x)^2/(a+b*sech(x)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(201\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\coth ^3(x)}{\sqrt {a+b \text {sech}^2(x)}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(202\)

Giac [F(-2)]

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

integrate(tanh(x)^5/(a+b*sech(x)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionUnable 
to divide
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(203\)

Giac [F(-2)]

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

integrate(tanh(x)^4/(a+b*sech(x)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(204\)

Giac [F(-2)]

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

integrate(coth(x)/(a+b*sech(x)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(209\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tanh ^6(x)}{\left (a+b \text {sech}^2(x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tanh(x)^6/(a+b*sech(x)^2)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(211\)

Giac [F(-2)]

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

integrate(coth(x)/(a+b*sech(x)^2)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(218\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+b \text {sech}^2(c+d x)\right )^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.5_Hyperbolic_secant/315_6.5.7

Test file number \(315\)

Integral number in file \(220\)

Giac [F(-2)]

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

integrate(x^3/csch(2*log(c*x))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly exception caught Unable to 
 convert to real %%{poly1[1.0000000000000000000000000000000,0.000000000000 
000000000
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/318_6.6.3

Test file number \(318\)

Integral number in file \(134\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {\text {csch}(2 \log (c x))}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x/csch(2*log(c*x))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly exception caught Unable to 
 convert to real %%{poly1[1.0000000000000000000000000000000,0.000000000000 
000000000
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/318_6.6.3

Test file number \(318\)

Integral number in file \(136\)

Giac [F(-2)]

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

integrate(x^3/csch(2*log(c*x))^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly exception caught Unable to 
 convert to real %%{poly1[1.0000000000000000000000000000000,0.000000000000 
000000000
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/318_6.6.3

Test file number \(318\)

Integral number in file \(148\)

Giac [F(-2)]

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

integrate((a+b*csch(d*x+c)^2)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(9\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(10\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(11\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(12\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(13\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(14\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+b \text {csch}^2(c+d x)\right )^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.6_Hyperbolic_cosecant/319_6.6.7

Test file number \(319\)

Integral number in file \(15\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right )^4 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-I*b*arcsin(-1+I*d*x^2))^4,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(249\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right )^3 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-I*b*arcsin(-1+I*d*x^2))^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(250\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right )^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-I*b*arcsin(-1+I*d*x^2))^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(251\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+i b \arcsin \left (1-i d x^2\right )\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(a-I*b*arcsin(-1+I*d*x^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(252\)

Giac [F(-2)]

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

integrate(1/(a-I*b*arcsin(-1+I*d*x^2)),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(253\)

Giac [F(-2)]

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

integrate(1/(a-I*b*arcsin(-1+I*d*x^2))^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(254\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+i b \arcsin \left (1-i d x^2\right )\right )^3} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(a-I*b*arcsin(-1+I*d*x^2))^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(255\)

Giac [F(-2)]

Exception generated. \[ \int \left (a-i b \arcsin \left (1+i d x^2\right )\right )^4 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-I*b*arcsin(1+I*d*x^2))^4,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(256\)

Giac [F(-2)]

Exception generated. \[ \int \left (a-i b \arcsin \left (1+i d x^2\right )\right )^3 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-I*b*arcsin(1+I*d*x^2))^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(257\)

Giac [F(-2)]

Exception generated. \[ \int \left (a-i b \arcsin \left (1+i d x^2\right )\right )^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-I*b*arcsin(1+I*d*x^2))^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(258\)

Giac [F(-2)]

Exception generated. \[ \int \left (a-i b \arcsin \left (1+i d x^2\right )\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(a-I*b*arcsin(1+I*d*x^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(259\)

Giac [F(-2)]

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

integrate(1/(a-I*b*arcsin(1+I*d*x^2)),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(260\)