### Product Rule & Integration by Parts

Many ways problem

# Constant consistency Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Some solutions

In how many different ways can you find this? $\displaystyle{\int {\cos (x) \sin (x)} \, dx}$

We’ve integrated the function in three different ways and seem to have three different answers. What has happened?

• Would thinking about these solutions graphically help?

• Can we make sense of it algebraically?