Here are a set of practice problems for the Integration
Techniques chapter of my Calculus II notes.
If you are viewing the pdf version of this document (as opposed to
viewing it on the web) this document contains only the problems themselves and
no solutions are included in this document.
Solutions can be found in a number of places on the site.
- If you’d like a pdf
document containing the solutions go to the note page for the section
you’d like solutions for and select the download solutions link from
- Go to the download page
for the site http://tutorial.math.lamar.edu/download.aspx
and select the section you’d like solutions for and a link will be
- If you’d like to view the
solutions on the web or solutions to an individual problem you can go to
the problem set web page, select the problem you want the solution
for. At this point I do not provide
pdf versions of individual solutions, but for a particular problem you can
select “Printable View” from the “Solution Pane Options” to get a
Note that some sections will have more problems than others
and some will have more or less of a variety of problems. Most sections should have a range of
difficulty levels in the problems although this will vary from section to
Here is a list of topics in this chapter that have practice
problems written for them.
Integration by Parts
Integrals Involving Trig Functions
Integrals Involving Roots
Integrals Involving Quadratics
Comparison Test for Improper Integrals
Approximating Definite Integrals