# Lagrange (Prime) Notation Exercises

### Example 1

For the integral, (a) identify u and u' and (b) integrate by substitution.

### Example 2

For the integral, (a) identify u and u' and (b) integrate by substitution.

### Example 3

For the integral, (a) identify u and u' and (b) integrate by substitution.

### Example 4

Evaluate the indefinite integral:

.

### Example 5

What is the following indefinite integral?

### Example 6

Evaluate the indefinite integral.

### Example 7

Evaluate the indefinite integral.

### Example 8

Find the following antiderivative.

### Example 9

What is the following indefinite integral?

### Example 10

Integrate. The problem may or may not require substitution.

### Example 11

Integrate. The problem may or may not require substitution.

### Example 12

Integrate. The problem may or may not require substitution.

### Example 13

Integrate. The problem may or may not require substitution.

Integrate.

### Example 15

Evaluate the integral.

Integrate.

Integrate.

Integrate.

### Example 19

Evaluate the following integral.

Integrate.

### Example 21

What's the following integral?