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Definite Integration question

2021 · 1 Sep · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 1 Sep · Shift 2 · Q37

Definite Integration question

2021 · 1 Sep · Shift 2 · Q37

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The function f(x), that satisfies the condition

f(x) = x + \int\limits_0^{\pi /2} {\sin x.\cos y\,f(y)\,dy}

, is :

A
$x + {2 \over 3}(\pi - 2)\sin x$
B
$x + (\pi + 2)\sin x$
C
$x + {\pi \over 2}\sin x$
D
$x + (\pi - 2)\sin x$

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