From the course: Complete Guide to Calculus Foundations for Data Science
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Improper integrals
From the course: Complete Guide to Calculus Foundations for Data Science
Improper integrals
- [Instructor] In the previous video, you learned how to integrate using trigonometric substitution. Let's wrap up integration techniques by exploring improper integrals. These are integrals that are going to include some special cases. First of all, what is an improper integral? An improper integral is where the integral has some sort of behavior causing it to go to infinity. This is usually because either infinity is in the integration bounds, such as the integral of zero to infinity of F(x)dx, or a function becomes infinite within a defined interval, such as the integral of zero to one of one divided by x, dx. This infinite behavior is what causes the integral to be improper in nature. As you may have noticed, this type of integral only applies to definite integrals due to the need for integration bounds. So how do you deal with these types of integrals? Let's take a look at these steps. When it comes to solving an improper integral, you first start with step one by identifying if…
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