Integrand size = 20, antiderivative size = 20 \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\text {Int}\left (\frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}},x\right ) \]
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Not integrable
Time = 0.04 (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 = {} \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx \\ \end{align*}
Timed out. \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\text {\$Aborted} \]
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Not integrable
Time = 0.04 (sec) , antiderivative size = 18, normalized size of antiderivative = 0.90
\[\int \frac {\left (d x +c \right )^{2}}{\sqrt {b \tanh \left (f x +e \right )}}d x\]
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Exception generated. \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\text {Exception raised: TypeError} \]
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Not integrable
Time = 1.25 (sec) , antiderivative size = 19, normalized size of antiderivative = 0.95 \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\int \frac {\left (c + d x\right )^{2}}{\sqrt {b \tanh {\left (e + f x \right )}}}\, dx \]
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Not integrable
Time = 0.59 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.00 \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\int { \frac {{\left (d x + c\right )}^{2}}{\sqrt {b \tanh \left (f x + e\right )}} \,d x } \]
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Exception generated. \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \]
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Not integrable
Time = 2.03 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.00 \[ \int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx=\int \frac {{\left (c+d\,x\right )}^2}{\sqrt {b\,\mathrm {tanh}\left (e+f\,x\right )}} \,d x \]
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