Optimal. Leaf size=18 \[ \text{CannotIntegrate}\left (x^m \text{csch}(a+b x) \text{sech}(a+b x),x\right ) \]
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Rubi [A] time = 0.212319, 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 = {} \[ \int x^m \text{csch}(a+b x) \text{sech}(a+b x) \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int x^m \text{csch}(a+b x) \text{sech}(a+b x) \, dx &=\int x^m \text{csch}(a+b x) \text{sech}(a+b x) \, dx\\ \end{align*}
Mathematica [A] time = 9.31969, size = 0, normalized size = 0. \[ \int x^m \text{csch}(a+b x) \text{sech}(a+b x) \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.024, size = 0, normalized size = 0. \begin{align*} \int{x}^{m}{\rm csch} \left (bx+a\right ){\rm sech} \left (bx+a\right )\, 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 x^{m} \operatorname{csch}\left (b x + a\right ) \operatorname{sech}\left (b x + a\right )\,{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 (x^{m} \operatorname{csch}\left (b x + a\right ) \operatorname{sech}\left (b x + a\right ), 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 x^{m} \operatorname{csch}{\left (a + b x \right )} \operatorname{sech}{\left (a + b x \right )}\, 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 x^{m} \operatorname{csch}\left (b x + a\right ) \operatorname{sech}\left (b x + a\right )\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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