Optimal. Leaf size=22 \[ \text{Unintegrable}\left (\frac{(b \tanh (e+f x))^{3/2}}{c+d x},x\right ) \]
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Rubi [A] time = 0.0686474, 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 = {} \[ \int \frac{(b \tanh (e+f x))^{3/2}}{c+d x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{(b \tanh (e+f x))^{3/2}}{c+d x} \, dx &=\int \frac{(b \tanh (e+f x))^{3/2}}{c+d x} \, dx\\ \end{align*}
Mathematica [A] time = 26.7531, size = 0, normalized size = 0. \[ \int \frac{(b \tanh (e+f x))^{3/2}}{c+d x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.089, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{dx+c} \left ( b\tanh \left ( fx+e \right ) \right ) ^{{\frac{3}{2}}}}\, 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 \frac{\left (b \tanh \left (f x + e\right )\right )^{\frac{3}{2}}}{d x + c}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: UnboundLocalError} \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 \frac{\left (b \tanh{\left (e + f x \right )}\right )^{\frac{3}{2}}}{c + d x}\, 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 \frac{\left (b \tanh \left (f x + e\right )\right )^{\frac{3}{2}}}{d x + c}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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