JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int e^x[\tan x-\log (\cos x)] d x=

View answer and explanation

Correct option: A

e^x \log (\sec x)+c

Option A is correct because the integral can be rewritten in the form

\int e^x[f(x) + f'(x)] dx

, where

f(x) = \log(\sec x)

and

f'(x) = \tan x

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\int \sin ^5 x \cos ^4 x d x=

f(x)

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f\left(\frac{4}{25}\right)

\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

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{C}

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