In this lecture you will learn how to effectively use Integration Tables to greatly speed up difficult integration problems. Professor Murray will discuss cases where Integration Tables are the fastest route and how you must match exactly to the procedure.
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.