A function f is continuous and differentiable for all x>0, such that f – InterviewSolution

1.	A function f is continuous and differentiable for all x>0, such that f2(x)=x∫0f(t)cost2+sintdt and f(x)≠0,f(π)=ln2, then f(x) is
Answer» A function $f$ is continuous and differentiable for all $x > 0,$ such that $f^{2} (x) = x \int 0 f (t) \frac{cos t}{2 + sin t} d t$ and $f (x) \neq 0, f (π) = ln 2,$ then $f (x)$ is

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