Integrals 7001 to 7100

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(914\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(915\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(916\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \left (c+a^2 c x^2\right )^2}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^m*(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(917\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(918\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(919\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(920\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(921\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(922\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(923\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(924\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right ) \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^m/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(925\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(926\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(927\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(928\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m}{\left (c+a^2 c x^2\right )^2 \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^m/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(929\)

Maxima [F(-2)]

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

integrate(x^3/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(930\)

Maxima [F(-2)]

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

integrate(x^2/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(931\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(932\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(933\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(934\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(935\)

Maxima [F(-2)]

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

integrate(x^5/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(936\)

Maxima [F(-2)]

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

integrate(x^4/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(937\)

Maxima [F(-2)]

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

integrate(x^3/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(938\)

Maxima [F(-2)]

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

integrate(x^2/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(939\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(940\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(941\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(942\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(943\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(944\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(945\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(1/2)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(946\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(947\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(948\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(949\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(3/2)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(950\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(951\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(952\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(953\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(5/2)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(954\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(955\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(956\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(957\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(958\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(959\)

Maxima [F(-2)]

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

integrate(x^2/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(960\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(961\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(962\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(963\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(964\)

Maxima [F(-2)]

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

integrate(x^4/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(965\)

Maxima [F(-2)]

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

integrate(x^3/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(966\)

Maxima [F(-2)]

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

integrate(x^2/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(967\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(968\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(969\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^(5/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(970\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(971\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(972\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(973\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(974\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(975\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(976\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(977\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(978\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(979\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(980\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(981\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(982\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(983\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(984\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(985\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(986\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(987\)

Maxima [F(-2)]

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

integrate(x^4/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(988\)

Maxima [F(-2)]

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

integrate(x^3/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(989\)

Maxima [F(-2)]

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

integrate(x^2/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(990\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(991\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(992\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(993\)

Maxima [F(-2)]

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

integrate(1/x^2/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(994\)

Maxima [F(-2)]

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

integrate(1/x^3/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(995\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x^4 \left (c+a^2 c x^2\right )^2 \arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x^4/(a^2*c*x^2+c)^2/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(996\)

Maxima [F(-2)]

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

integrate(x^m/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(997\)

Maxima [F(-2)]

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

integrate(x^3/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(998\)

Maxima [F(-2)]

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

integrate(x^2/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(999\)

Maxima [F(-2)]

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

integrate(x/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1000\)

Maxima [F(-2)]

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

integrate(1/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1001\)

Maxima [F(-2)]

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

integrate(1/x/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1002\)

Maxima [F(-2)]

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

integrate(1/x^2/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1003\)

Maxima [F(-2)]

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

integrate(1/x^3/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1004\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x^4 \left (c+a^2 c x^2\right )^3 \arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x^4/(a^2*c*x^2+c)^3/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1005\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^m \sqrt {c+a^2 c x^2}}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^m*(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1006\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1007\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(1/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1008\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(1/2)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1009\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1010\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1011\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(3/2)/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1012\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^(3/2)/x/arctan(a*x)^(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/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1013\)