Integrand size = 20, antiderivative size = 20 \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\text {Int}\left ((c+d x)^2 \sqrt {b \tanh (e+f x)},x\right ) \]
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Not integrable
Time = 0.03 (sec) , antiderivative size = 20, 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 = {} \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx \\ \end{align*}
Timed out. \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\text {\$Aborted} \]
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Not integrable
Time = 0.04 (sec) , antiderivative size = 18, normalized size of antiderivative = 0.90
\[\int \left (d x +c \right )^{2} \sqrt {b \tanh \left (f x +e \right )}d x\]
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Exception generated. \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\text {Exception raised: TypeError} \]
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Not integrable
Time = 1.30 (sec) , antiderivative size = 19, normalized size of antiderivative = 0.95 \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\int \sqrt {b \tanh {\left (e + f x \right )}} \left (c + d x\right )^{2}\, dx \]
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Not integrable
Time = 0.55 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.00 \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\int { {\left (d x + c\right )}^{2} \sqrt {b \tanh \left (f x + e\right )} \,d x } \]
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Not integrable
Time = 0.34 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.00 \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\int { {\left (d x + c\right )}^{2} \sqrt {b \tanh \left (f x + e\right )} \,d x } \]
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Not integrable
Time = 1.99 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.00 \[ \int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx=\int \sqrt {b\,\mathrm {tanh}\left (e+f\,x\right )}\,{\left (c+d\,x\right )}^2 \,d x \]
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