JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f(x)

and

g(x)

are two continuous functions defined on

[-a, a]

, then the value of

\int_{ - a}^a {\{ f(} x) + f( - x)\} \{ g(x) - g( - x)\} \,\,dx\mathrm{, }\,\,\mathrm{is }

View answer and explanation

Correct option: D

none of these

Option D (none of these) is correct because the integrand is an odd function, making the integral over a symmetric interval equal to zero.

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