Optimal. Leaf size=17 \[ 2 \text{Unintegrable}\left (\frac{\text{csch}(2 a+2 b x)}{x^2},x\right ) \]
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Rubi [A] time = 0.0372738, 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 = {} \[ \int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x^2} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x^2} \, dx &=2 \int \frac{\text{csch}(2 a+2 b x)}{x^2} \, dx\\ \end{align*}
Mathematica [A] time = 15.6595, size = 0, normalized size = 0. \[ \int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x^2} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.064, size = 0, normalized size = 0. \begin{align*} \int{\frac{{\rm csch} \left (bx+a\right ){\rm sech} \left (bx+a\right )}{{x}^{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{\operatorname{csch}\left (b x + a\right ) \operatorname{sech}\left (b x + a\right )}{x^{2}}\,{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 (\frac{\operatorname{csch}\left (b x + a\right ) \operatorname{sech}\left (b x + a\right )}{x^{2}}, 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 \frac{\operatorname{csch}{\left (a + b x \right )} \operatorname{sech}{\left (a + b x \right )}}{x^{2}}\, 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{\operatorname{csch}\left (b x + a\right ) \operatorname{sech}\left (b x + a\right )}{x^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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