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Inline
Let f:[a,b]→R be Riemann integrable. Let F:[a,b]→R be
F(x)=∫axf(t)dt. Then F is continuous, and at all x such that
f is continuous at x, F is differentiable at x with F′(x)=f(x).
Blocks
I=∫02πsin(x)dx(1)