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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫xtan⁡xsec⁡2xdx=\int x \tan x \sec ^2 x d x=
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Correct option: B
xsec⁡2x2−12tan⁡x+c\frac{x \sec ^2 x}{2}-\frac{1}{2} \tan x+c
Option B (xsec⁡2x2−12tan⁡x+c\frac{x \sec ^2 x}{2}-\frac{1}{2} \tan x+c) is correct because it is the result of applying integration by parts to the given integral.

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