Question

$\int \frac{x^2(1-\ln x)}{(\ln x)^4-x^4} d x$ is equal to

Accepted Answer

$\frac{1}{4} \ln \left(\frac{\ln x-x}{\ln x+x}ight)-\frac{1}{2} 	an ^{-1}\left(\frac{\ln x}{x}ight)+C$

Answer

$\frac{1}{2} \ln \left(\frac{x}{\ln x}\right)-\frac{1}{4} \ln \left(\ln ^2 x-x^2\right)+C$

Answer

$\frac{1}{4} \ln \left(\frac{\ln x+x}{\ln x-x}ight)+\frac{1}{2} 	an ^{-1}\left(\frac{\ln x}{x}ight)+C$

Answer

$\frac{1}{4} \ln \left(\frac{\ln x-x}{\ln x+x}ight)+\frac{1}{2} 	an ^{-1}\left(\frac{\ln x}{x}ight)+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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