Integrals 3801 to 3900

Maxima [F(-2)]

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

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

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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number $150$

Integral number in file $195$

Maxima [F(-2)]

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

integrate((x^2-1)/(a-b+b/x^2)^(1/2)/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(4*a-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number $154$

Integral number in file $137$

Maxima [F(-2)]

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

integrate((x^2-1)/(a+b*(-1+1/x^2))^(1/2)/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(4*a-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number $154$

Integral number in file $138$

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^3/(x^2-1)^(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-d)*(e+d)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number $154$

Integral number in file $156$

Maxima [F(-2)]

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

integrate(1/((b*x+a)*(d*x+c))^(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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number $154$

Integral number in file $315$

Maxima [F(-2)]

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

integrate(1/((b*x+a)*(-d*x+c))^(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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number $154$

Integral number in file $316$

Maxima [F(-2)]

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

integrate(1/(a+b*exp(x)+c*exp(2*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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $432$

Maxima [F(-2)]

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

integrate(x/(a+b*exp(x)+c*exp(2*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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $437$

Maxima [F(-2)]

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

integrate(x^2/(a+b*exp(x)+c*exp(2*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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $442$

Maxima [F(-2)]

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

integrate(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $444$

Maxima [F(-2)]

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

integrate(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),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/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $445$

Maxima [F(-2)]

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

integrate(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $447$

Maxima [F(-2)]

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

integrate(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $449$

Maxima [F(-2)]

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

integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $450$

Maxima [F(-2)]

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

integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),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(4*a*c-b^2>0)', see `assume?` for 
 more deta
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $451$

Maxima [F(-2)]

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

integrate(1/(a+b/exp(x)+c*exp(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(4*b*c-a^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $460$

Maxima [F(-2)]

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

integrate(x/(a+b/exp(x)+c*exp(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(a^2-4*b*c>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $461$

Maxima [F(-2)]

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

integrate(x^2/(a+b/exp(x)+c*exp(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(a^2-4*b*c>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $462$

Maxima [F(-2)]

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

integrate(1/(a+b*f^(-d*x-c)+c*f^(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(4*b*c-a^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $463$

Maxima [F(-2)]

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

integrate(x/(a+b*f^(-d*x-c)+c*f^(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(a^2-4*b*c>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $464$

Maxima [F(-2)]

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

integrate(x^2/(a+b*f^(-d*x-c)+c*f^(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(a^2-4*b*c>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $465$

Maxima [F(-2)]

Exception generated. $$\int a^x{b}^{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(a^x*b^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(log(b)/log(a)>0)', see `assume?` 
 for more
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $487$

Maxima [F(-2)]

Exception generated. $$\int a^x{b}^{-x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(a^x/(b^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(-log(b)/log(a)>0)', see `assume? 
` for more
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $491$

Maxima [F(-2)]

Exception generated. $$\int a^x{b}^x{c}^{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(a^x*b^x*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(log(c)/log(a)+log(b)/log(a)>0)', 
 see `assu
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $492$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+e{e}^{h+ix})(f+gx{)}^3}{a+b{e}^{h+ix}+c{e}^{2h+2ix}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((d+e*exp(i*x+h))*(g*x+f)^3/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),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/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $494$

Maxima [F(-2)]

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

integrate((d+e*exp(i*x+h))*(g*x+f)^2/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),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/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $495$

Maxima [F(-2)]

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

integrate((d+e*exp(i*x+h))*(g*x+f)/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, al 
gorithm="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/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $496$

Maxima [F(-2)]

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

integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),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/2_Exponentials/155_2_Exponential_functions

Test file number $155$

Integral number in file $497$

Maxima [F(-2)]

Exception generated. $$\int F^{c+d\arctan (a+bx{)}^n}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(F^(c+d*arctan(b*x+a)^n),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $13$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-i\arctan (a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $208$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-3i\arctan (a+bx)}}{x^4}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $229$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{i\arctan (ax)}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $328$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-i\arctan (ax)}}{{(1+a^2{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $338$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3i\arctan (ax)}}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $344$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{i\arctan (ax)}}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $346$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-2i\arctan (ax)}{x}^2}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x^2/(1+I*a*x)^2*(a^2*x^2+1)/(a^2*c*x^2+c)^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/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $392$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-4i\arctan (ax)}{x}^2}{{(c+a^{2}c{x}^2)}^9}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x^2/(1+I*a*x)^4*(a^2*x^2+1)^2/(a^2*c*x^2+c)^9,x, algorithm="maxi 
ma")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $393$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{5i\arctan (ax)}{x}^2}{{(c+a^{2}c{x}^2)}^{27/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((1+I*a*x)^5/(a^2*x^2+1)^(5/2)*x^2/(a^2*c*x^2+c)^(27/2),x, algori 
thm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $394$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3i\arctan (ax)}{x}^2}{{(c+a^{2}c{x}^2)}^{11/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*x^2/(a^2*c*x^2+c)^(11/2),x, algori 
thm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $395$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{i\arctan (ax)}{x}^2}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number $159$

Integral number in file $396$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arccosh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/162_2.5.2

Test file number $162$

Integral number in file $5$

Maxima [F(-2)]

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

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/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/2_Exponentials/2.5/162_2.5.2

Test file number $162$

Integral number in file $6$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arccosh}(a+bx)}}{x^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/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/2_Exponentials/2.5/162_2.5.2

Test file number $162$

Integral number in file $7$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arccosh}(a+bx)}}{x^4}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/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/2_Exponentials/2.5/162_2.5.2

Test file number $162$

Integral number in file $8$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arccosh}(a+bx)}}{x^5}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^5,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/2_Exponentials/2.5/162_2.5.2

Test file number $162$

Integral number in file $9$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arctanh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $859$

Maxima [F(-2)]

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

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $860$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arctanh}(a+bx)}}{x^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $861$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arctanh}(a+bx)}}{x^4}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $862$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $876$

Maxima [F(-2)]

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

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $877$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(a+bx)}}{x^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $878$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(a+bx)}}{x^4}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $879$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-\text{arctanh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(b*x+a+1)*(1-(b*x+a)^2)^(1/2)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $884$

Maxima [F(-2)]

Exception generated. $$\int e^{\text{arctanh}(ax)}{x}^2\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $986$

Maxima [F(-2)]

Exception generated. $$\int e^{\text{arctanh}(ax)}x\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $987$

Maxima [F(-2)]

Exception generated. $$\int e^{\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a^2*c*x^2+c)^(1/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $988$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}{x}^3\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1193$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}{x}^2\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1194$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}x\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1195$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1196$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}}{x}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a^2*c*x^2+c)^(1/2)/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/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1197$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}}{x^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1198$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}{(c-a^{2}c{x}^2)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1202$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1330$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)/(-a^2*c*x^2+c)^(5/2),x, algor 
ithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1331$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{7/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)/(-a^2*c*x^2+c)^(7/2),x, algor 
ithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1332$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{9/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)/(-a^2*c*x^2+c)^(9/2),x, algor 
ithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/163_2.5.3

Test file number $163$

Integral number in file $1333$

Maxima [F(-2)]

Exception generated. $$\int e^{3{\text{sech}}^{-1}(ax)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(1/2))^3*x^m,x, algorithm="max 
ima")
 

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(m-3>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $40$

Maxima [F(-2)]

Exception generated. $$\int e^{2{\text{sech}}^{-1}(ax)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(1/2))^2*x^m,x, algorithm="max 
ima")
 

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(m-2>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $41$

Maxima [F(-2)]

Exception generated. $$\int e^{{\text{sech}}^{-1}\left(a{x}^3\right)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/x^3+(-1+1/a/x^3)^(1/2)*(1/a/x^3+1)^(1/2))*x^m,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(m-3>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $60$

Maxima [F(-2)]

Exception generated. $$\int e^{{\text{sech}}^{-1}\left(a{x}^2\right)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/x^2+(-1+1/a/x^2)^(1/2)*(1+1/a/x^2)^(1/2))*x^m,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(m-2>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $61$

Maxima [F(-2)]

Exception generated. $$\int e^{{\text{sech}}^{-1}\left(a{x}^p\right)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/(x^p)+(-1+1/a/(x^p))^(1/2)*(1+1/a/(x^p))^(1/2))*x^m,x, algo 
rithm="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(m-p>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $65$

Maxima [F(-2)]

Exception generated. $$\int e^{{\text{sech}}^{-1}\left(a{x}^p\right)}xdx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/(x^p)+(-1+1/a/(x^p))^(1/2)*(1+1/a/(x^p))^(1/2))*x,x, algori 
thm="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(1-p>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $66$

Maxima [F(-2)]

Exception generated. $$\int e^{{\text{sech}}^{-1}\left(a{x}^p\right)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/a/(x^p)+(-1+1/a/(x^p))^(1/2)*(1+1/a/(x^p))^(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(-p>0)', see `assume?` for more d 
etails)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number $165$

Integral number in file $67$

Maxima [F(-2)]

Exception generated. $$\int e^{2{\text{csch}}^{-1}(ax)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^m,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(m-2>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/166_2.5.6

Test file number $166$

Integral number in file $21$

Maxima [F(-2)]

Exception generated. $$\int e^{{\text{csch}}^{-1}\left(a{x}^2\right)}{x}^{m}dx=\text{Exception raised: ValueError}$$ Input:

integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^m,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(m-2>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/166_2.5.6

Test file number $166$

Integral number in file $35$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arctanh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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(a-1>0)', see `assume?` for more 
details)Is
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $844$

Maxima [F(-2)]

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

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $845$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arctanh}(a+bx)}}{x^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $846$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\text{arctanh}(a+bx)}}{x^4}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)/(1-(b*x+a)^2)^(1/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $847$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $861$

Maxima [F(-2)]

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

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $862$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(a+bx)}}{x^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $863$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(a+bx)}}{x^4}dx=\text{Exception raised: ValueError}$$ Input:

integrate((b*x+a+1)^3/(1-(b*x+a)^2)^(3/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $864$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{-\text{arctanh}(a+bx)}}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(b*x+a+1)*(1-(b*x+a)^2)^(1/2)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $869$

Maxima [F(-2)]

Exception generated. $$\int e^{\text{arctanh}(ax)}{x}^2\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $971$

Maxima [F(-2)]

Exception generated. $$\int e^{\text{arctanh}(ax)}x\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $972$

Maxima [F(-2)]

Exception generated. $$\int e^{\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a^2*c*x^2+c)^(1/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $973$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}{x}^3\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1178$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}{x}^2\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1179$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}x\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1180$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a^2*c*x^2+c)^(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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1181$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}}{x}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a^2*c*x^2+c)^(1/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1182$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{3\text{arctanh}(ax)}\sqrt{c-a^{2}c{x}^2}}{x^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1183$

Maxima [F(-2)]

Exception generated. $$\int e^{3\text{arctanh}(ax)}{(c-a^{2}c{x}^2)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1187$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1315$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)/(-a^2*c*x^2+c)^(5/2),x, algor 
ithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1316$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{7/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)/(-a^2*c*x^2+c)^(7/2),x, algor 
ithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1317$

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{2}\text{arctanh}(ax)}}{{(c-a^{2}c{x}^2)}^{9/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)/(-a^2*c*x^2+c)^(9/2),x, algor 
ithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number $167$

Integral number in file $1318$