Derivatives and Integrals
Robert Beezer
beezer@pugetsound.edu
Department of Mathematics and Computer Science
University of Puget Sound
June 20, 2013
We consider integrals of functions f(x). For example, \int_0^1\,\sin^2(x)\,dx
There is a remarkable theorem:
If f(x) is continuous, and the derivative of F(x) is f(x), then
\int_a^b\,f(x)\,dx=F(b)-F(a)
Left to the reader.