JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{m x^{m+2 n-1}-n x^{n-1}}{x^{2 m+2 n}+2 x^{m+n}+1} d x

is equal to

View answer and explanation

Correct option: C

\frac{-x^n}{x^{m+n}+1}+C

Option C (

\frac{-x^n}{x^{m+n}+1}+C

) is correct because integrating by parts and simplifying the resulting terms leads to this expression.

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