Question

Let $f(x)=x+\frac{a}{\pi^2-4} sinx+\frac{b}{\pi^2-4} cos x$, $x∈R$ be a function which satisfies $f(x)=x+∫_0^{\frac{\pi}{2}} sin(x+y) f(y)dy$. Then (a+b) equal to

• A. -π(π+2)
• B. -π(π-2)
• C. -2π(π+2)
• D. -2π(π-2)

Answer 1

Answer: (C)

-2π(π+2)

Answer 2

The correct answer is -2π(π+2)