1. Integration by Substitution Example 1 If you cannot see the answer for integral by inspection, then the method of substitution is deployed. Make dx the subject Replace 2x – 1 by u and write dx in terms of du This was an easy question, you could have done it by inspection.

2. Integration by substitution Example 2 Use the substitution u = sin x Make dx the subject This was also an easy question, you could have done it by inspection.

3. Integration by substitution Example 3 Use the substitution u = x - 4 Integrals which are not so obvious. However, this integral can be found by using partial fractions.

4. Integration by substitution Example 4 Substitute x = u 2

5. Integration by substitution Example 5 Substitute u 2 = x + 1

6. Integration by substitution Example 6Substitute x = (u – 4)/3

7. Integration by substitution Example 7 Substitute x = 2sin u