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My favorite theorem is the fundamental theorem of calculus. Here it is boys and girls...

The fundamental theorem of calculus states that the integral of a function f over the interval [a, b] can be calculated by finding an antiderivative F of f:

integral from a to b of f(x) dx = F(b) - F(a)

Fun stuff.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett