Introduction to :

If you're given some random integral to integrate, you probably won't be told whether it's improper or not. It might be improper because of badly behaved limits, a badly behaved function, or both. Either way, you can break it into smaller improper integrals, each of which is improper for only one reason.


Example 1

Determine if the integral

converges or diverges.

Exercise 1

Split the integral  into a sum of integrals that are each improper for only one reason.