Integrand size = 14, antiderivative size = 14 \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\text {Int}\left ((b x)^m \sqrt {\arccos (a x)},x\right ) \]
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Not integrable
Time = 0.01 (sec) , antiderivative size = 14, 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 = {} \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\int (b x)^m \sqrt {\arccos (a x)} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int (b x)^m \sqrt {\arccos (a x)} \, dx \\ \end{align*}
Not integrable
Time = 0.73 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.14 \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\int (b x)^m \sqrt {\arccos (a x)} \, dx \]
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Not integrable
Time = 0.52 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.86
\[\int \left (b x \right )^{m} \sqrt {\arccos \left (a x \right )}d x\]
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Exception generated. \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\text {Exception raised: TypeError} \]
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Not integrable
Time = 1.30 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.00 \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\int \left (b x\right )^{m} \sqrt {\operatorname {acos}{\left (a x \right )}}\, dx \]
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Exception generated. \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\text {Exception raised: RuntimeError} \]
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Not integrable
Time = 1.00 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.00 \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\int { \left (b x\right )^{m} \sqrt {\arccos \left (a x\right )} \,d x } \]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.00 \[ \int (b x)^m \sqrt {\arccos (a x)} \, dx=\int \sqrt {\mathrm {acos}\left (a\,x\right )}\,{\left (b\,x\right )}^m \,d x \]
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