JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

f(x)

is an odd function of

x

, then

\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}} f(\cos x) d x

is equal to

View answer and explanation

Correct option: C

2 \int\limits_{0}^{\frac{\pi}{2}} f(\sin x) d x

Option C (

2 \int_0^{\frac{\pi}{2}} f(\sin x) d x

) is correct because

f(\cos x)

is an even function, and

\cos x

can be replaced with

\sin x

due to symmetry.

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