10.8: Improper Integrals (infinite bound)

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Presentation transcript:

10.8: Improper Integrals (infinite bound)

Warm up

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.

Converging: Diverging:

Does it converge or diverge?????

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

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.