In this lesson we are going to talk about our first major integration technique called Substitution Method for Integration. It is also known as u-substitution. So, first, we are going to see some important equations for this method. Basically, what we are going to be doing is trying to integrate some harder looking integrands where we cannot figure out the antiderivative in our head. But, if we can recognize the integrand as having certain form then we will be able to make a change of variables that will allow us to convert the integral in terms of variable u. This technique can be used for both, Definite and Indefinite integrals.
First try what
looks like the natural substitution to make.
If your first try
does not work, take a further look into the structure of the
Do not drop the
this is crucial to the substitution method!
You will be using
the substitution method throughout the rest of calculus, so it is
important to learn it really well!
Substitution Method for Integration
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.