## 9.1 Fundamental Theorem of Calculus

#### Fundamental Theorem of Calculus

- If f is a continuous on an interval [a,b]], then the fundamental theorem of calculus states that

\int_{a}^{b} f(x) d x=F(b)-F(a)

where F^{\prime}(x)=f(x), or F(x) is any antiderivative of f(x).

Note: This is an informal treatment of the fundamental theorem of calculus. Point 3 is the more formal definition of it.

- Sometimes, it is also written as