JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)

be a function defined on

R

satisfying

f(x)=f(1-x)

for all

x \in R

. Then

\int_{-1 / 2}^{1 / 2} f\left(x+\frac{1}{2}\right) \sin x\,\, d x

equals

View answer and explanation

Correct option: D

none of these

Option D (none of these) is correct because the integral evaluates to 0 due to the integrand being an odd function over a symmetric interval.

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