Integrand size = 12, antiderivative size = 12 \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\text {Int}\left ((d x)^m \text {arccosh}(a x)^n,x\right ) \]
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Not integrable
Time = 0.01 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\int (d x)^m \text {arccosh}(a x)^n \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int (d x)^m \text {arccosh}(a x)^n \, dx \\ \end{align*}
Not integrable
Time = 1.24 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\int (d x)^m \text {arccosh}(a x)^n \, dx \]
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Not integrable
Time = 0.28 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00
\[\int \left (d x \right )^{m} \operatorname {arccosh}\left (a x \right )^{n}d x\]
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Not integrable
Time = 0.27 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\int { \left (d x\right )^{m} \operatorname {arcosh}\left (a x\right )^{n} \,d x } \]
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Not integrable
Time = 12.72 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00 \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\int \left (d x\right )^{m} \operatorname {acosh}^{n}{\left (a x \right )}\, dx \]
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Not integrable
Time = 0.49 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\int { \left (d x\right )^{m} \operatorname {arcosh}\left (a x\right )^{n} \,d x } \]
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Timed out. \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\text {Timed out} \]
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Not integrable
Time = 2.79 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int (d x)^m \text {arccosh}(a x)^n \, dx=\int {\mathrm {acosh}\left (a\,x\right )}^n\,{\left (d\,x\right )}^m \,d x \]
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