Optimal. Leaf size=21 \[ \text {Int}\left ((e x)^m \sin \left (a+b (c+d x)^n\right ),x\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int (e x)^m \sin \left (a+b (c+d x)^n\right ) \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int (e x)^m \sin \left (a+b (c+d x)^n\right ) \, dx &=\int (e x)^m \sin \left (a+b (c+d x)^n\right ) \, dx\\ \end {align*}
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Mathematica [A] time = 6.18, size = 0, normalized size = 0.00 \[ \int (e x)^m \sin \left (a+b (c+d x)^n\right ) \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.59, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\left (e x\right )^{m} \sin \left ({\left (d x + c\right )}^{n} b + a\right ), x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \left (e x\right )^{m} \sin \left ({\left (d x + c\right )}^{n} b + a\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.26, size = 0, normalized size = 0.00 \[ \int \left (e x \right )^{m} \sin \left (a +b \left (d x +c \right )^{n}\right )\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \left (e x\right )^{m} \sin \left ({\left (d x + c\right )}^{n} b + a\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.05 \[ \int \sin \left (a+b\,{\left (c+d\,x\right )}^n\right )\,{\left (e\,x\right )}^m \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \left (e x\right )^{m} \sin {\left (a + b \left (c + d x\right )^{n} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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