JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{x\left(x^{2010}+1\right)}

is equal to

View answer and explanation

Correct option: D

-\frac{1}{2010} \ln \left|1+x^{-2010}\right|+c

Option D (

\frac{{-1}}{{2010}} \ln |1+x^{-2010}|+c

) is correct because the integral is solved using substitution after rewriting the expression.

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