JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{\cos 2 x}{\cos x} d x

is equal to

View answer and explanation

Correct option: A

2 \sin x-\ell n |\sec x+\tan x|+C

Option A (

2 \sin x-\ell n |\sec x+\tan x|+C

) is correct because it follows from simplifying the integrand using trigonometric identities and then integrating.

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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

\int {e}^{{x}^2}\left(2-\frac{1}{{x}^2}\right) {de}={e}^{{x}^2} {f}({x})+{C}

{f}\left(\frac{1}{2}\right)=2

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{C}

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