Integrand size = 34, antiderivative size = 34 \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\text {Int}\left (\frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2},x\right ) \]
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Not integrable
Time = 0.03 (sec) , antiderivative size = 34, 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 = {} \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx \\ \end{align*}
Not integrable
Time = 0.81 (sec) , antiderivative size = 36, normalized size of antiderivative = 1.06 \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx \]
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Not integrable
Time = 0.19 (sec) , antiderivative size = 34, normalized size of antiderivative = 1.00
\[\int \frac {{\left (a +b \ln \left (c \left (e x +d \right )^{n}\right )\right )}^{2} \left (f +g \ln \left (h \left (j x +i \right )^{m}\right )\right )}{x^{2}}d x\]
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Not integrable
Time = 0.33 (sec) , antiderivative size = 93, normalized size of antiderivative = 2.74 \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\int { \frac {{\left (b \log \left ({\left (e x + d\right )}^{n} c\right ) + a\right )}^{2} {\left (g \log \left ({\left (j x + i\right )}^{m} h\right ) + f\right )}}{x^{2}} \,d x } \]
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Timed out. \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\text {Timed out} \]
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Not integrable
Time = 0.51 (sec) , antiderivative size = 207, normalized size of antiderivative = 6.09 \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\int { \frac {{\left (b \log \left ({\left (e x + d\right )}^{n} c\right ) + a\right )}^{2} {\left (g \log \left ({\left (j x + i\right )}^{m} h\right ) + f\right )}}{x^{2}} \,d x } \]
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Not integrable
Time = 0.50 (sec) , antiderivative size = 36, normalized size of antiderivative = 1.06 \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\int { \frac {{\left (b \log \left ({\left (e x + d\right )}^{n} c\right ) + a\right )}^{2} {\left (g \log \left ({\left (j x + i\right )}^{m} h\right ) + f\right )}}{x^{2}} \,d x } \]
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Not integrable
Time = 2.33 (sec) , antiderivative size = 36, normalized size of antiderivative = 1.06 \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2 \left (f+g \log \left (h (i+j x)^m\right )\right )}{x^2} \, dx=\int \frac {{\left (a+b\,\ln \left (c\,{\left (d+e\,x\right )}^n\right )\right )}^2\,\left (f+g\,\ln \left (h\,{\left (i+j\,x\right )}^m\right )\right )}{x^2} \,d x \]
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