Evaluate the integral: $$\int \frac{2x\ln(x)-x}{\ln^2(x)} dx$$
So far I only really know U-sub and some basic integrals, but I don't know what to sub in. Any hints please
Evaluate $\int \frac{2x\ln(x)-x}{\ln^2(x)} dx$
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$\begingroup$
calculus
integration
definite-integrals
indefinite-integrals
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0Try computing the derivative of $\frac{x^2}{\log x}$. – 2017-02-07
1 Answers
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Hint:
This integral has the form $\displaystyle\int\left(\frac{u(x)}{v(x)}\right)' \mathrm d x$.