how-to-use-the-integral-test-for-series-kristakingmath

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The integral test is a convergence test that you can use to say whether or not a series converges. In order to figure out whether or not to use the integral test, you need to look to see whether the series you're given could turn into a function that you could integrate. If it's something you can integrate, then it might be a good candidate for the integral test.

Your goal will be to turn the series into a function, integrate that function, and then evaluate the function over the infinite integral. If you get a real number answer as a result, then the integral test proves that the series converges. If the result of the integration is an infinite answer, the the integral test proves that the series diverges. Even if the series converges, you can't use the integral test to say to which value the series converges.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

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