JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x^2}{(a+b x)^2} d x

equals to:

View answer and explanation

Correct option: B

\frac{1}{b^3}\left(a+b x-2 a \ln |a+b x|-\frac{a^2}{a+b x}\right)+C

Option B (

\frac{1}{b^3}\left(a+b x-2 a \ln |a+b x|-\frac{a^2}{a+b x}\right)+C

) is correct because it is the result of correctly integrating the given expression using substitution and partial fractions.

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