JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{\cos 5 x+\cos 4 x}{1-2 \cos 3 x} d x

is equal to

View answer and explanation

Correct option: C

-\frac{\sin 2 x}{2}-\sin x+c

Option C (-

\frac{{\sin 2x}}{{2}}-\sin x+c

) is correct because it is the simplified result after applying trigonometric identities and integration.

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