In this lesson we are going to talk about how to use integration tables to solve integrals. Integration tables can be find inside the back cover of your calculus book or on the internet. We are going to learn to use these tables. The key thing is that we want the pattern in the integral we are given to match the pattern in the integration table exactly. Often that means that we have to do a little bit of work with the integral that we are given to get it into a form that matches the integration table. We are going to see some examples where you can practice doing that work.
Almost every calculus book has tables
of integrals inside the back cover. You can also find tables on the
web. To use these tables, you must make the integral youre given
match the pattern in the table exactly, including the du.
Hints and tips:
quadratic expressions, you often have to complete the square and
make a substitution to make your integral match the one in the
also often have to make some other substitution like u
When you make these substitutions, make sure you convert the dx
the tables dont give you full answers, but instead give you
reduction formulas, such as how to reduce ∫ secn x dx
to ∫ secn−2 x dx. Then
you may have to use the formulas more than once, or use the formula
to reduce your integral to another integral that you will then solve
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.