Integrals 7801 to 7900

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+c^2 d x^2\right )^{5/2} (a+b \text {arcsinh}(c x))}{x^4} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(152\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arcsinh}(c x))}{\sqrt {d+c^2 d x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(154\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(156\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(265\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(267\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(273\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(275\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(277\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(279\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(281\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(283\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(285\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+c^2 d x^2\right )^{5/2} (a+b \text {arcsinh}(c x))^2}{x^4} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x^4,x, algorithm="maxim 
a")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(287\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arcsinh}(c x))^2}{\sqrt {d+c^2 d x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(298\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(300\)

Maxima [F(-2)]

Exception generated. \[ \int (f+g x)^3 \sqrt {d+c^2 d x^2} (a+b \text {arcsinh}(c x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((g*x+f)^3*(c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(34\)

Maxima [F(-2)]

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

integrate((g*x+f)^2*(c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(35\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x)),x, algorithm="max 
ima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(36\)

Maxima [F(-2)]

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

integrate((g*x+f)^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(39\)

Maxima [F(-2)]

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

integrate((g*x+f)^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(40\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm="max 
ima")
                                                                                    
                                                                                    
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(41\)

Maxima [F(-2)]

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

integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/(g*x+f),x, algorithm="max 
ima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(42\)

Maxima [F(-2)]

Exception generated. \[ \int (f+g x)^3 \left (d+c^2 d x^2\right )^{5/2} (a+b \text {arcsinh}(c x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((g*x+f)^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(43\)

Maxima [F(-2)]

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

integrate((g*x+f)^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(44\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm="max 
ima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(45\)

Maxima [F(-2)]

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

integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/(g*x+f),x, algorithm="max 
ima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(46\)

Maxima [F(-2)]

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

integrate((g*x+f)^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(47\)

Maxima [F(-2)]

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

integrate((g*x+f)^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/329_7.1.5

Test file number \(329\)

Integral number in file \(48\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(6\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a+b x)}{x^3} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(7\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(a+b x)}{x^4} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(8\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(17\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(28\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(37\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(45\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(116\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(117\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x)) \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(118\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{\sqrt {c e+d e x}} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(119\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(120\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(121\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{(c e+d e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(122\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(123\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(124\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(125\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(126\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(127\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(128\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(129\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c e+d e x} (a+b \text {arccosh}(c+d x))^3 \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(130\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{\sqrt {c e+d e x}} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(131\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(132\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^3}{(c e+d e x)^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(133\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {1-x^2} \text {arccosh}(x) \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(50\)

Maxima [F(-2)]

Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \text {arccosh}(a x)^3 \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(65\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c-a^2 c x^2} \text {arccosh}(a x)^3 \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(66\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(132\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(143\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(144\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(145\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(148\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(149\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(150\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(163\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(167\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(129\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \text {arccosh}(a x)}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(131\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \text {arccosh}(a x)^2}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(208\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \text {arccosh}(a x)^2}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(210\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \text {arccosh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(222\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \text {arccosh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(224\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arccosh}(c x))}{d+e x^2} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(387\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(389\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(391\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(393\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c x)}{x^4 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(395\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(397\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(400\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(401\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(402\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(403\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \text {arccosh}(c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(409\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(410\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(411\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(5\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(6\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^4} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(7\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)^2}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(12\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)^2}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(13\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(18\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(19\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(25\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(26\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(44\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))}{(f+g x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(45\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{3/2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(49\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{5/2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(53\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arctanh}(a x)^3}{x^2 \left (1-a^2 x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(278\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\text {arctanh}(a x)^3}{x^2 \left (1-a^2 x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(319\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(518\)