# Indefinite Integrals

### Example 1

Evaluate the indefinite integral. Remember the + *C*.

### Example 2

Evaluate the indefinite integral. Remember the + *C*.

### Example 3

Evaluate the indefinite integral. Remember the + *C*.

### Example 4

Evaluate the indefinite integral. Remember the + *C*.

### Example 5

Evaluate the indefinite integral. Remember the + *C*.

### Example 6

Evaluate the indefinite integral. Remember the + *C*.

### Example 7

Evaluate the indefinite integral. Remember the + *C*.

### Example 8

Evaluate the indefinite integral. Remember the + *C*.

### Example 9

Evaluate the indefinite integral. Remember the + *C*.

### Example 10

Evaluate the indefinite integral. Remember the + *C*.

### Example 11

Determine if the integral is a definite integral or an indefinite integral.

### Example 12

Determine if the integral is a definite integral or an indefinite integral.

### Example 13

Determine if the integral is a definite integral or an indefinite integral.

### Example 14

Determine if the integral is a definite integral or an indefinite integral.

### Example 15

Assume the function *f* ( *x* ) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.

is a number.

### Example 16

Assume the function *f* ( *x* ) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.

is a family of functions.

### Example 17

Assume the function *f* ( *x* ) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.

is a number.

### Example 18

*f* ( *x* ) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.

is a function.

### Example 19

*f* ( *x* ) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.

is a family of functions.

### Example 20

*f* ( *x* ) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.

### Example 21

Determine if the answer is correct.

### Example 22

Determine if the answer is correct.

### Example 23

Determine if the answer is correct.

for all *x* > 0

### Example 24

Determine if the answer is correct.

### Example 25

Determine if the answer is correct.

for all *x* for which (*x* + 2) and (3*x* – 7) are positive.