JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)

be a differentiable function defined on

\left[ {0,2} \right],

such that

f'(x) = f'(2 - x)

, for all

x \in \left( {0,\,\,2} \right),\,

f(0) = 1

and

f(2) = {e^2}

. Then, the value of

\int\limits_0^2 {f(x)dx}

View answer and explanation

Correct option: B

1 + {e^2}

Option B (

1 + {e^2}

) is the correct value of the integral, obtained using the properties of definite integrals and the given conditions.

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