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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