JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f(x)

is differentiable and

\int\limits_{0}^{t^2} x f(x) d x=\frac{2}{5} t^5

then

f(4 / 25)=

View answer and explanation

Correct option: A

\frac{2}{5}

Option A (

\frac{2}{5}

) is correct because differentiating both sides and substituting

t = \frac{2}{5}

gives

f(\frac{4}{25}) = \frac{2}{5}

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