JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The integral

\int\limits_{0}^a \frac{g(x)}{f(x)+f(a-x)} d x

vanishes, if

View answer and explanation

Correct option: C

g(x)=-g(a-x)

Option A (periodic with period

T

) is correct because the integral of an odd periodic function over a period is zero, making the resulting function also periodic with period T.

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