JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int x \cos ^2 x d x=

View answer and explanation

Correct option: B

\frac{x^2}{4}+\frac{1}{4} x \sin 2 x+\frac{1}{8} \cos 2 x+c

Option B (

\frac{x^2}{4}+\frac{1}{4} x \sin 2 x+\frac{1}{8} \cos 2 x+c

) is correct because it is the result of integrating

x \cos ^2 x

using trigonometric identities and integration by parts.

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