Integrals 3801 to 3900

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1122\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1123\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^3 \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1124\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1127\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1128\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1129\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1130\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1133\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1134\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1135\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1136\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(3*d-c>0)', see `assume?` for m
ore details)

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1137\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(3*d-c>0)', see `assume?` for m
ore details)

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1138\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1141\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1142\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(3*d-c>0)', see `assume?` for m
ore details)

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1143\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(3*d-c>0)', see `assume?` for m
ore details)

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1144\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1147\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1148\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(3*d-c>0)', see `assume?` for m
ore details)

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1149\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(3*d-c>0)', see `assume?` for m
ore details)

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1150\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1153\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1154\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1155\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1156\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^{3/2} \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1159\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^{5/2} \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1160\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1161\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1165\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1166\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1168\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1171\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1172\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^n}{a+i a \tan (e+f x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1177\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^n}{(a+i a \tan (e+f x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1178\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^n}{(a+i a \tan (e+f x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1179\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1231\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1232\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1233\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1234\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1237\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1238\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1239\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1240\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1243\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1244\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1245\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1246\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1250\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1251\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1252\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1256\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x)) (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1257\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x))^2 (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1258\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1262\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x)) (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1263\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x))^2 (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1264\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1268\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1269\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1270\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1274\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1275\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^{3/2}}{(a+b \tan (e+f x))^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1276\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1281\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \tan (e+f x))^{5/2}}{(a+b \tan (e+f x))^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1282\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1285\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b \tan (e+f x)} \sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1286\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1291\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1292\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1294\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1298\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1299\)

Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1300\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1303\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c (d \tan (e+f x))^p\right )^n}{a+i a \tan (e+f x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1321\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (c (d \tan (e+f x))^p\right )^n}{(a+i a \tan (e+f x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1322\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(36\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(37\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan (c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(38\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(39\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot (c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(40\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(41\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(42\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^4(c+d x) (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cot(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(43\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(44\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(45\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan (c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(46\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(47\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot (c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(48\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(49\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(50\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^4(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(51\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(52\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(53\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan (c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(54\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(55\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot (c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(56\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(57\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(58\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^4(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^4} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm="maxima")

[Out]

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

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(59\)