question archive Let f(x) be a continuous function on [0,10]
Subject:MathPrice: Bought3
Let f(x) be a continuous function on [0,10]. From FTC part 1, F(x) = integral from 0 to x of f(t)dt is a differentiable and continuous function on [0,10]. If the integral from 0 to 10 of f(t)dt = 10, show that there is a real number 0 ≤ c≤ 10 such that the integral from 0 to c of f(t)dt = pi.