- is differentaible on ;
- The first derivative is continuous on .

- The sine function is smooth on .
- The absolute value function is smooth on , but is mot smooth on .

Remark: To compute this integral, you can either use a table of integrals (for example http://torte.cs.berkeley.edu:90/tilu), or make an appropriate substitution. The example 5.20 can help you too.

Noah Dana-Picard 2007-12-28