# The Fundamental Theorem of Calculus

### Example 1

Find the integral.

where *a* > 2 is a constant

### Example 2

Find the integral.

where *a* and *c* are constants, *a* < *c*

### Example 3

Find the integral.

, where *a* is a nonzero constant

### Example 4

Find the integral.

where *u* is a nonzero constant

### Example 5

Find the integral.

where *a* is a constant greater than zero

### Example 6

Find the integral.

where *C* and D are constants, *C* < *D*

### Example 7

Find the integral.

where *a* is a nonzero constant

### Example 8

Find the integral.

where *a* is a constant greater than zero

### Example 9

Find the integral.

where *b* > 1 and *a* ≠ 0 are constants