JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

If, for

t>0

the definite integral

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

, then

f\left(\frac{4}{25}\right)

is equal to

View answer and explanation

Correct option: A

\frac{2}{5}

Option A (

\frac{2}{5}

) is correct because differentiating the given integral and solving for

f(t^2)

yields

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

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