# The Fundamental Theorem of Calculus

### Example 1

Determine if the statement is true or false.

The FTC says that if *f* is continuous on [*a*,*b*], then

### Example 2

Determine if the statement is true or false.

The FTC says that if *s* is continuous on [*a*,*b*], then

### Example 3

Determine if the statement is true or false.

The FTC says that if *F'* is continuous on [*a*,*b*] then

### Example 4

Determine if the statement is true or false.

The FTC says that if *f* is continuous on [*a*,*b*] and *f* is the derivative of *F*, then