JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \sin ^{-1}\left(3 x-4 x^3\right) d x=

View answer and explanation

Correct option: D

3\left[x \sin ^{-1} x+\sqrt{1-x^2}\right]+c

Option D (

3\left[x \sin ^{-1} x+\sqrt{1-x^2}\right]+c

) is correct because substituting

x = \sin \theta

simplifies the integral, and integration by parts yields the correct result.

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