If ∫₀ˣ f(t)dt = x² + ∫ t²f(t)dt... | Integration | JEE Main 2019

JEE MAIN 2019

10-01-2019 S2

Question

If $\int_0^x f(t) d t=x^2+\int t^2 f(t) d t$ then $f(1 / 2)$ is :

Select the correct option:

A

$\frac{6}{25}$

B

$\frac{24}{25}$

C

$\frac{4}{5}$

D

$\frac{18}{25}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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