1. 10.8: Improper Integrals (infinite bound)

2. Warm up

3. Today we will be looking at integrals with bounds that are either infinity or negative infinity. Looking at this graph answer what you think the answers would be for the questions.

4. Converging:
Diverging:

5. Does it converge or diverge?????

6. There are two types of improper integrals
Integrals that have infinite bounds
Integrals that their bounds include a vertical asymptote

7. Steps to Improper Integrals with infinite bounds
Check if it converges or diverges.
If the limit equals zero then it can converges (could still be divergent). If it’s ANYTHING else then it’s divergent and the answer is either infinity or negative infinity.
Then do the problem like this.