JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

If for a continuous function

f

\int\limits_{{-a}}^a f(x) d x=K \int\limits_{0}^a(f(x)+f(-x)) d x

then the value of

K

View answer and explanation

Correct option: A

Option A (1) is correct because

\int_{-a}^{a} f(x) dx = \int_{0}^{a} (f(x) + f(-x)) dx

, so

K=1

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