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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Analyzing +4 | -1
∫e−x(1−tan⁡x)sec⁡x dx\int e^{-x}(1-\tan x) \sec x\, d x is equal to
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Correct option: D
None of these
Option D is correct because after applying the integration rule ∫ekx[kf(x)+f′(x)]dx=ekxf(x)\int e^{kx} [kf(x) + f'(x)] dx = e^{kx}f(x), we get −e−xsec⁡x+C-e^{-x} \sec x + C.

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