Function condition | DEFINITE INTEGRATION

JEE MAIN 2021

01-09-2021 S2

Question

The function $f(x)$, that satisfies the condition $f(x)=x+\int_0^{\pi / 2} \sin x \cdot \cos y f(y) d y$, is :

Select the correct option:

$x+\frac{2}{3}(\pi-2) \sin x$

$x+(\pi+2) \sin x$

$x+\frac{\pi}{2} \sin x$

$x+(\pi-2) \sin x$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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