Optimal. Leaf size=15 \[ \text {Int}\left ((d x)^m \cosh ^{-1}(a x)^n,x\right ) \]
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Rubi [A] time = 0.02, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int (d x)^m \cosh ^{-1}(a x)^n \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int (d x)^m \cosh ^{-1}(a x)^n \, dx &=\int (d x)^m \cosh ^{-1}(a x)^n \, dx\\ \end {align*}
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Mathematica [A] time = 1.45, size = 0, normalized size = 0.00 \[ \int (d x)^m \cosh ^{-1}(a x)^n \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.60, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\left (d x\right )^{m} \operatorname {arcosh}\left (a x\right )^{n}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.12, size = 0, normalized size = 0.00 \[ \int \left (d x \right )^{m} \mathrm {arccosh}\left (a x \right )^{n}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \left (d x\right )^{m} \operatorname {arcosh}\left (a x\right )^{n}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.07 \[ \int {\mathrm {acosh}\left (a\,x\right )}^n\,{\left (d\,x\right )}^m \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \left (d x\right )^{m} \operatorname {acosh}^{n}{\left (a x \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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