The integrals below can be calculated by using a special method: integration by parts. For some assignments different techniques have to be applied. Always verify the result.

1. Calculate:

2. Calculate:

3. Calculate:

4. Calculate:

5. Calculate:

6. Calculate:

7. Calculate:

8. Write the following integral in a recursive form:

9. Show the following formula (we have already applied this a number of times):

10. In assignment 3 it was asked to calculate the following integral and we applied integration by parts. Is there another way and if so, which?