JEE Math Practice Question
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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