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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫ex(1+tan⁡x)sec⁡xdx=\int e^x(1+\tan x) \sec x d x=
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Correct option: C
exsec⁡xe^x \sec x
Option C is correct because the integral can be simplified to the form ∫ex[f(x)+f′(x)]dx\int e^x[f(x) + f'(x)] dx, where f(x)=sec⁡xf(x) = \sec x and f′(x)=sec⁡xtan⁡xf'(x) = \sec x \tan x.

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