Integrals 5301 to 5400

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{(a+ia\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1141$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^(5/2),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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1142$

Maxima [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^{5/2}(c+d\tan (e+fx){)}^{3/2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)*(c+d*tan(f*x+e))^(3/2),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(3*d-c>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1143$

Maxima [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^{3/2}(c+d\tan (e+fx){)}^{3/2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)*(c+d*tan(f*x+e))^(3/2),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(3*d-c>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1144$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+ia\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1147$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^(5/2),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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1148$

Maxima [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^{5/2}(c+d\tan (e+fx){)}^{5/2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)*(c+d*tan(f*x+e))^(5/2),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(3*d-c>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1149$

Maxima [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^{3/2}(c+d\tan (e+fx){)}^{5/2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)*(c+d*tan(f*x+e))^(5/2),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(3*d-c>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1150$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}}{(a+ia\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1153$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^(5/2),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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1154$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{5/2}}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(1/2),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((d^2-2*c*d-c^2)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1155$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{3/2}}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(1/2),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((d^2-2*c*d-c^2)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1156$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+ia\tan (e+fx){)}^{3/2}\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/(a+I*a*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1159$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+ia\tan (e+fx){)}^{5/2}\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/(a+I*a*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1160$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{5/2}}{(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(3/2),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((d^2-2*c*d-c^2)>0)', see `assume 
?` for mor
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1161$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+ia\tan (e+fx){)}^{3/2}(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/(a+I*a*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1165$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+ia\tan (e+fx){)}^{5/2}(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/(a+I*a*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1166$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{3/2}}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(5/2),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(((-(2*c*d^4)/((c^2-d^2)^2>0)', s 
ee `assume
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1168$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+ia\tan (e+fx){)}^{3/2}(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/(a+I*a*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm=" 
maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1171$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+ia\tan (e+fx){)}^{5/2}(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/(a+I*a*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm=" 
maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1172$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^n}{a+ia\tan (e+fx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^n/(a+I*a*tan(f*x+e)),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1177$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^n}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^n/(a+I*a*tan(f*x+e))^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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1178$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^n}{(a+ia\tan (e+fx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c+d*tan(f*x+e))^n/(a+I*a*tan(f*x+e))^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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1179$

Maxima [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx))\sqrt{c+d\tan (e+fx)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))*(c+d*tan(f*x+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(d-c>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1231$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{a+b\tan (e+fx)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e)),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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1232$

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1233$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1234$

Maxima [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx))(c+d\tan (e+fx){)}^{3/2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))*(c+d*tan(f*x+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(d-c>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1237$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{a+b\tan (e+fx)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e)),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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1238$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+b*tan(f*x+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1239$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e))^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*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1240$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{3+4\tan (e+fx)}}{a+b\tan (e+fx)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((3+4*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e)),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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1246$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{3+4\tan (e+fx)}}{(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((3+4*tan(f*x+e))^(1/2)/(a+b*tan(f*x+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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1247$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{3+4\tan (e+fx)}}{(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate((3+4*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1248$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\tan (e+fx)}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))/(c+d*tan(f*x+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(d-c>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1252$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx))\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1253$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx){)}^2\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1254$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\tan (e+fx)}{(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))/(c+d*tan(f*x+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(d-c>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1258$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx))(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1259$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1260$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\tan (e+fx)}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))/(c+d*tan(f*x+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(d-c>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1264$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx))(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1265$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1266$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{3+4\tan (e+fx)}(a+b\tan (e+fx))}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(3+4*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e)),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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1272$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{3+4\tan (e+fx)}(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(3+4*tan(f*x+e))^(1/2)/(a+b*tan(f*x+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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1273$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(3+4\tan (e+fx){)}^{3/2}(a+b\tan (e+fx))}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(3+4*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e)),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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1278$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(3+4\tan (e+fx){)}^{3/2}(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(3+4*tan(f*x+e))^(3/2)/(a+b*tan(f*x+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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1279$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(3+4\tan (e+fx){)}^{3/2}(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(3+4*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e))^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(3*b-4*a>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1280$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{\sqrt{a+b\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1284$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{(a+b\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1285$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}}{(a+b\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)/(a+b*tan(f*x+e))^(5/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1286$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+b\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1290$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+b\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e))^(5/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1291$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}}{(a+b\tan (e+fx){)}^{7/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)/(a+b*tan(f*x+e))^(7/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1292$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}}{(a+b\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)/(a+b*tan(f*x+e))^(5/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1297$

Maxima [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}}{(a+b\tan (e+fx){)}^{7/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)/(a+b*tan(f*x+e))^(7/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1298$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+b\tan (e+fx)}}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1301$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a+b\tan (e+fx)}\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(a+b*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(1/2),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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1302$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx){)}^{3/2}}{(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1307$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+b\tan (e+fx)}}{(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1308$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx){)}^{3/2}(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(a+b*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(3/2),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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1310$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx){)}^{5/2}}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1314$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx){)}^{3/2}}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="maxi 
ma")
                                                                                    
                                                                                    
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1315$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+b\tan (e+fx)}}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="maxi 
ma")
 

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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1316$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (e+fx){)}^{5/2}(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(a+b*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(5/2),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(((2*b*d+2*a*c)^2>0)', see `assum 
e?` for mo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1319$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(c(d\tan (e+fx){)}^p)}^n}{a+ia\tan (e+fx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c*(d*tan(f*x+e))^p)^n/(a+I*a*tan(f*x+e)),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1337$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(c(d\tan (e+fx){)}^p)}^n}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((c*(d*tan(f*x+e))^p)^n/(a+I*a*tan(f*x+e))^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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $1338$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $36$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $37$

Maxima [F(-2)]

Exception generated. $$\int \frac{\tan (c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $38$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+B\tan (c+dx)}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $39$

Maxima [F(-2)]

Exception generated. $$\int \frac{\cot (c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $40$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^2(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $41$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $42$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^4(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $43$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $44$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $45$

Maxima [F(-2)]

Exception generated. $$\int \frac{\tan (c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $46$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+B\tan (c+dx)}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $47$

Maxima [F(-2)]

Exception generated. $$\int \frac{\cot (c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $48$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^2(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $49$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $50$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^4(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $51$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $52$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $53$

Maxima [F(-2)]

Exception generated. $$\int \frac{\tan (c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $54$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+B\tan (c+dx)}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $55$

Maxima [F(-2)]

Exception generated. $$\int \frac{\cot (c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $56$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^2(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $57$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $58$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^4(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $59$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $60$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $61$

Maxima [F(-2)]

Exception generated. $$\int \frac{\tan (c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $62$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+B\tan (c+dx)}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $63$

Maxima [F(-2)]

Exception generated. $$\int \frac{\cot (c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $64$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^2(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $65$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^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/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $66$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{5}{2}}(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorith 
m="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $134$

Maxima [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{3}{2}}(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorith 
m="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $135$