JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Given

f^{\prime}(x)=f^{\prime}(2-x)

for all

x \in[0,2]

and

f(0)=1, f(2)=e^2

. Then,

\int_0^2 f(x) d x

is equal to

View answer and explanation

Correct option: D

e^2+1

The correct answer is D (

e^2+1

) because after using integration by parts and the given condition

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

, the integral evaluates to

e^2+1

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