Improper Integrals

Improper Integrals: Upper or Lower Bound Is Infinity

Finally, a problem that involves both limits AND integration! Your favorite! I don't like these either, but at least they're easy to spot: they're the ones with infinity in a definite integral. Students tend to make tons of mistakes on these (as do I), but if you practice these on your homework, you too can plug-and-chug through them like a champ.

Improper Integrals with Discontinuities

These ones are hard to spot because they don't have an infinity in them. But then again, limits are really just plugging in anyway, so if you don't notice it's an improper integral, there's still a decent chance you'll get the right answer!