JEE Main 20211 Sep, Evening shiftMathematicsMediumIntegral Calculus369× since 2002The function f(x), that satisfies the condition f(x)=x+∫0π/2sinx.cosy f(y) dyf(x) = x + \int\limits_0^{\pi /2} {\sin x.\cos y\,f(y)\,dy}f(x)=x+0∫π/2sinx.cosyf(y)dy, is :AOption A. x+23(π−2)sinxx + {2 \over 3}(\pi - 2)\sin xx+32(π−2)sinxBOption B. x+(π+2)sinxx + (\pi + 2)\sin xx+(π+2)sinxCOption C. x+π2sinxx + {\pi \over 2}\sin xx+2πsinxDOption D. x+(π−2)sinxx + (\pi - 2)\sin xx+(π−2)sinxCheckSkip · show solution
