Summary: Midterm 2 Review
The second midterm will focus on techniques of integration. This includes u-
substitution (see midterm 1 review), integration by parts, trig substitution, partial
fractions, and improper integrals
1. integration by parts
For integration by parts, you are generally looking for a part for which the
derivative is simpler, and the rest has an integral which is not more complicated.

x cos xdx
we may have to do parts multiple times,

x2
ex
dx
2
1
x4
(ln x)2
dx
we may have to do a u-sub in addition to parts,

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

Collections: Mathematics