We now turn to integration. The first thing to decide is when to teach antidifferentiation. Many books do this at the end of the last differentiation chapter or the first thing in the first integration chapter. Some teachers, myself included, prefer to wait until after presenting the Fundamental Theorem of Calculus. Still others wait until after teaching all the applications. The reasons for this are discussed in more detail in the first post below, Integration Itinerary.
If you teach this later, come back and look at it then.
Integration itinerary – a discussion of when to teach antidifferentiation.
The following posts are on different antidifferentiation techniques.
Antidifferentiation u-substitution
Good Question 12 – Parts with a Constant?
Integration by Parts I (BC only)
Integration by Parts II (BC only)
Parts and More Parts (BC only) More on the tabular method and on reduction formulas
Modified Tabular Integration (BC only) With this you don’t need to make a table.
Teaching Calculus 