# Using the FTC to Evaluate Integrals Exercises

### Example 1

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = 10x9

### Example 2

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = x3

### Example 3

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

### Example 4

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(t) = -sin t

### Example 5

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = -cos x

### Example 6

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(t) = sec2 t

### Example 7

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = e2x

### Example 8

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = 5x ln 5

### Example 9

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

### Example 10

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = x2 + 3x – 5

### Example 11

Evaluate the integral.

### Example 12

Evaluate the integral.

### Example 13

Evaluate the integral.

### Example 14

Evaluate the integral.

### Example 15

Evaluate the integral.

### Example 16

Evaluate the integral.

### Example 17

Evaluate the integral.

### Example 18

Evaluate the integral.

### Example 19

Evaluate the integral.

### Example 20

Evaluate the integral.