JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{3 x^2+2 x}{\sqrt{x^6+2 x^5+x^4-2 x^3-2 x^2+5}} d x

equals

View answer and explanation

Correct option: A

\sinh ^{-1}\left(\frac{x^3+x^2-1}{2}\right)+c

Option A (

\sinh ^{-1}\left(\frac{x^3+x^2-1}{2}\right)+c

) is correct because it results from completing the square and using the inverse hyperbolic sine integral.

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