Integrand size = 14, antiderivative size = 14 \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\text {Int}\left (\frac {\arccos (a x)^n}{\sqrt {b x}},x\right ) \]
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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 = {} \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx \\ \end{align*}
Not integrable
Time = 1.29 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.14 \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx \]
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Not integrable
Time = 0.89 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.86
\[\int \frac {\arccos \left (a x \right )^{n}}{\sqrt {b x}}d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.43 \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\int { \frac {\arccos \left (a x\right )^{n}}{\sqrt {b x}} \,d x } \]
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Not integrable
Time = 1.62 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.00 \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\int \frac {\operatorname {acos}^{n}{\left (a x \right )}}{\sqrt {b x}}\, dx \]
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Exception generated. \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\text {Exception raised: RuntimeError} \]
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Not integrable
Time = 0.47 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.00 \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\int { \frac {\arccos \left (a x\right )^{n}}{\sqrt {b x}} \,d x } \]
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Not integrable
Time = 0.27 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.00 \[ \int \frac {\arccos (a x)^n}{\sqrt {b x}} \, dx=\int \frac {{\mathrm {acos}\left (a\,x\right )}^n}{\sqrt {b\,x}} \,d x \]
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