A function f(x)f(x)f(x) satisfies ∫0xf(t)dt=xcos(x)\int_{0}^{x} f(t) dt = x \cos(x)∫0xf(t)dt=xcos(x). What is the value of f(π)f(\pi)f(π)?
−π-\pi−π
111
000
−1-1−1