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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
I=∫cos⁡{2tan⁡−11−x1+x}dxI=\int \cos \left\{2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x is equal to
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Correct option: A
12x2+C\frac{1}{2} x^2+C
Option A is correct because the integral can be simplified using trigonometric identities and a substitution.

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