Improper Integrals - Convergent or Divergent (Made Easy)

In this video, I will show you how to evaluate an improper integral and determine if it is convergent or divergent. This is a lesson made easy for Calculus students. An integral is improper if there is an infinity sign on the top or bottom of the integral. An integral is also improper if there exists a value between the the upper and lower limit of an integral such that the function will be divide-by-zero. I will show some easy examples in the video.

The general way to solve an improper integral and determine their convergence or divergence in Calculus is to turn it into a limit as t approaches infinity. Then, you use the first fundamental theorem of calculus or the second fundamental theorem of calculus to evaluate the integral like you normally do. It also involves finding the antiderivative of the integral and plugging the limits in.

In the next video, I will show you how to evaluate integrals and determine if they are convergent or divergent using the Comparison Test for Improper Integrals.

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[AliBarisa]

5:23 and 6:36 LIATE = Logs Inverse Trig m, Algebra, Trig Exponential for Integration by Parts ie uv-vdu

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Thank you this video was super helpful. My professor never explained properly what to make u and du even though I've asked him many times. Finally, with this video I understand.

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[matricmasterclass]

Hi there :)

For the final question (20:22) why did you say the limit as t approaches 1 from the negative side? why not the positive side?

[jadendodoo]

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[-TranMinhBao-A]

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[mahonriorozco]

Hi, man, I didn't understand why, on the last problem, you evaluated the limit at 1 from the left. Thanks for your help!

[AnonymousAdeptt]

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[Anshumansahu]

Hello sir Have u teached the Gamma, beta and alpha function of improper integrals...?? If yes would love you to show the playlist thanks..