Optimal. Leaf size=28 \[ \text{Unintegrable}\left (x^m f^{a^2 c+2 a b c x+b^2 c x^2},x\right ) \]
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Rubi [A] time = 0.0556472, 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 = {} \[ \int f^{c (a+b x)^2} x^m \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int f^{c (a+b x)^2} x^m \, dx &=\int f^{a^2 c+2 a b c x+b^2 c x^2} x^m \, dx\\ \end{align*}
Mathematica [A] time = 0.140308, size = 0, normalized size = 0. \[ \int f^{c (a+b x)^2} x^m \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.033, size = 0, normalized size = 0. \begin{align*} \int{f}^{c \left ( bx+a \right ) ^{2}}{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^{{\left (b x + a\right )}^{2} c} 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^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c} x^{m}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int f^{c \left (a + b x\right )^{2}} x^{m}\, dx \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^{{\left (b x + a\right )}^{2} c} x^{m}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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