JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

p(x)

be a function defined on

\mathbf{R}

such that

p^{\prime}(x)=p^{\prime}(1-x)

, for all

x \in[0,1], p(0)=1

and

p(1)=41

.
Then

\int\limits_{0}^1 p(x) d x

equals

View answer and explanation

Correct option: D

Option D is correct because the integral is solved by using integration by parts and the given property of the function p(x).

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