Integrand size = 28, antiderivative size = 28 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\text {Int}\left (\frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x},x\right ) \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 28, 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 = {} \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx \\ \end{align*}
Not integrable
Time = 0.89 (sec) , antiderivative size = 30, normalized size of antiderivative = 1.07 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 28, normalized size of antiderivative = 1.00
\[\int \frac {F^{f {\left (a +b \ln \left (c \left (e x +d \right )^{n}\right )\right )}^{2}}}{h x +g}d x\]
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Not integrable
Time = 0.30 (sec) , antiderivative size = 50, normalized size of antiderivative = 1.79 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int { \frac {F^{{\left (b \log \left ({\left (e x + d\right )}^{n} c\right ) + a\right )}^{2} f}}{h x + g} \,d x } \]
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Not integrable
Time = 15.60 (sec) , antiderivative size = 24, normalized size of antiderivative = 0.86 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int \frac {F^{f \left (a + b \log {\left (c \left (d + e x\right )^{n} \right )}\right )^{2}}}{g + h x}\, dx \]
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Not integrable
Time = 0.80 (sec) , antiderivative size = 30, normalized size of antiderivative = 1.07 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int { \frac {F^{{\left (b \log \left ({\left (e x + d\right )}^{n} c\right ) + a\right )}^{2} f}}{h x + g} \,d x } \]
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Not integrable
Time = 0.55 (sec) , antiderivative size = 30, normalized size of antiderivative = 1.07 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int { \frac {F^{{\left (b \log \left ({\left (e x + d\right )}^{n} c\right ) + a\right )}^{2} f}}{h x + g} \,d x } \]
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Not integrable
Time = 0.29 (sec) , antiderivative size = 31, normalized size of antiderivative = 1.11 \[ \int \frac {F^{f \left (a+b \log \left (c (d+e x)^n\right )\right )^2}}{g+h x} \, dx=\int \frac {{\mathrm {e}}^{f\,\ln \left (F\right )\,{\left (a+b\,\ln \left (c\,{\left (d+e\,x\right )}^n\right )\right )}^2}}{g+h\,x} \,d x \]
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