# Indefinite Integrals

### Example 1

A test contained the following question:

Laurie wrote down the following answer:

What did Laurie do wrong? What is the correct value of the integral?

### Example 2

Evaluate the definite integral using Way 1(first integrate the indefinite integral, then use the FTC).

### Example 3

Evaluate the definite integral using Way 1(first integrate the indefinite integral, then use the FTC).

### Example 4

Evaluate the definite integral using Way 1(first integrate the indefinite integral, then use the FTC).

### Example 5

### Example 6

### Example 7

A test contained the following question:

KT wrote down the following answer:

What did KT do wrong? What is the correct value of the integral?

### Example 8

Evaluate the definite integral by substitution, using Way 2.

### Example 9

Evaluate the definite integral by substitution, using Way 2.

### Example 10

Evaluate the definite integral by substitution, using Way 2.

### Example 11

Evaluate the definite integral by substitution, using Way 2.

### Example 12

Evaluate the definite integral by substitution, using Way 2.