How to perform some more basic integration

There are several common situations in which the normal rule of

won't do the job.

f(x) = 1/x

If you try to apply the regular rule, you'll end up with a problem .... why?

In this case, the answer is a special function:

f(x) = e(x)

This one is pretty easy, actually.

f(x) = sin(x) or cos(x)

These are pretty common. You can figure out how to integrate them if you already know the derivatives of each function, right? Just go backwards.

Watch out for the sign when you integrate the sine!