The value of the integral $\mathop \smallint \limits_0^{2a} \,\,\frac{{f\left( x \right)}}{{f\left( x \right)\,\, + \,\,f\left( {2a - x} \right)}}\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of the integral

\int \limits_0^{2a} \,\,\frac{{f\left( x \right)}}{{f\left( x \right)\,\, + \,\,f\left( {2a - x} \right)}}\,\,dx

is equal to

View answer and explanation

Correct option: C

a

Option C (

a

) is correct because the integral simplifies to 'a' after applying the property of definite integrals.

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