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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫dx1+3sin⁡2x=\int \frac{d x}{1+3 \sin ^2 x}=
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Correct option: B
12tan⁡−1(2tan⁡x)+c\frac{1}{2} \tan ^{-1}(2 \tan x)+c
Option B is correct because the integral is solved by dividing by cos²x and using a substitution, resulting in 12tan⁡−1(2tan⁡x)+c\frac{1}{2} \tan^{-1}(2 \tan x)+c.

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