Optimal. Leaf size=17 \[ \text{CannotIntegrate}\left (x^m f^{\frac{c}{(a+b x)^3}},x\right ) \]
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Rubi [A] time = 0.0427128, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int f^{\frac{c}{(a+b x)^3}} x^m \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int f^{\frac{c}{(a+b x)^3}} x^m \, dx &=\int f^{\frac{c}{(a+b x)^3}} x^m \, dx\\ \end{align*}
Mathematica [A] time = 0.0769496, size = 0, normalized size = 0. \[ \int f^{\frac{c}{(a+b x)^3}} x^m \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.051, size = 0, normalized size = 0. \begin{align*} \int{f}^{{\frac{c}{ \left ( bx+a \right ) ^{3}}}}{x}^{m}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int f^{\frac{c}{{\left (b x + a\right )}^{3}}} x^{m}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x^{m}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int f^{\frac{c}{{\left (b x + a\right )}^{3}}} x^{m}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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