JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f

be a continuous function that

p(x)=\int\limits_{{-2}}^a f(t)|x-t| d t

where

x \in(-2,2)

, then the value of

\int\limits_{0}^2 \frac{p^{\prime \prime}(x)}{f(x)} d x

is equal to

View answer and explanation

Correct option: D

Option D (4) is correct because the integral simplifies to 4 after finding the second derivative of p(x) and substituting.

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