JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f(x)

is differentibale and

\int\limits_{{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 is correct because differentiating both sides of the equation and solving for f(4/25) yields 2/5.

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