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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫dx2x−x2=\int \frac{d x}{\sqrt{2 x-x^2}}=
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Correct option: B
sin⁡−1(x−1)+c\sin ^{-1}(x-1)+c
Option B is correct because the integral can be rewritten and solved using a trigonometric substitution, resulting in sin⁡−1(x−1)+c\sin^{-1}(x-1)+c.

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