Calculus II - 8.8.1 Improper Integrals with Infinite Limits of Integration

In this video we look at the first type of improper integral - integrals with infinite limits of integration. We will examine all 3 cases.

Video Chapters:
Intro 0:00
What Makes an Integral Improper? 0:12
Upper Limit of Integration at Infinity 1:01
Lower Limit of Integration at Negative Infinity 6:02
Both Upper and Lower Limits at +/- Infinity 13:51
Up Next 20:00

This playlist follows Larson and Edwards, Calculus 12e.

[kofiboateng]

Around the 16:40 mark, you mentioned the arctan pattern. I am a little confused on how you derived the functions towards this pattern. You briefly mentioned what you were thinking (a=4, u=x) but I am not sure if you were thinking along the lines of U substitution or some other technique, which is making it harder for me to follow along with the final example. If you could briefly explain that part, that would be helpful!

[mokoepa]

don't we multiply by the 4 in the numerator somehow and get 4pi as an answer instead