JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f(x)

is differentiable and

\int_0^{t^2} x f(x) d x=\frac{2}{5} t^5

, then

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

equals

View answer and explanation

Correct option: A

2 / 5

Option A (2/5) is correct because differentiating both sides of the equation using Leibniz's rule and solving for f(4/25) leads to the answer 2/5.

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