# The Fundamental Theorem of Calculus

### Example 1

Find the average value of the function on the indicated interval.

*g*(*t*) = cos *t* on

### Example 2

Find the average value of the function on the indicated interval.

*f*(*x*) = 2*x* + 5 on [1,4]

### Example 3

Find the average value of the function on the indicated interval.

*f*(*x*) = *e ^{x}* on [0,1]

### Example 4

Find the average value of the function on the indicated interval.

*s*(*t*) = 7* ^{t}* ln 7 on [1,3]

### Example 5

Find the average value of the function on the indicated interval.

on [1,3]