An integral is called improper if its limits cause problems. There are also only two types of problems: 1) A limit is infinitely large, 2) A limit is the pole of the integrand. In any case, you simply replace the problem with a limit problem and calculate the integral as usual. ✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄ If you need to prepare for a math exam, then take a look at my own online platform: https://champcademy.com. There you will find courses, individual support and everything you need to pass your exam. -------------------------------------------------------------------------------------------------------------------------- ONLINE COURSES ???? Statistics and probability calculations https://champcademy.teachable.com/p/s... Complex numbers https://champcademy.teachable.com/p/k... Sequences, series and difference equations https://champcademy.teachable.com/p/f... Differential calculus https://champcademy.teachable.com/p/d... Limits of functions https://champcademy.teachable.com/p/g... Integral calculus https://champcademy.teachable.com/p/i... Multidimensional integral calculus https://champcademy.teachable.com/p/m... Functions with several variables https://champcademy.teachable.com/p/f... Extremum calculation https://champcademy.teachable.com/p/e... INDIVIDUAL COURSES Math 1 crash course (adapted to HU Berlin) https://champcademy.teachable.com/p/m... Math 2 LIVE Crash Course (for HU Berlin) https://champcademy.teachable.com/p/m... Statistics 1 LIVE Crash Course (for HU Berlin) https://champcademy.teachable.com/p/s... Analysis 2 LIVE Crash Course (for TU Berlin) https://champcademy.teachable.com/p/a... -------------------------------------------------------------------------------------------------------------------------- SOCIAL MEDIA https://linktr.ee/mathepeter / mathepeter.tv / discord LIVESTREAM CALENDAR https://kalender.digital/831bcc564b24... -------------------------------------------------------------------------------------------------------------------------- AFFILIATE LINKS For every purchase I get a small commission. The price remains the same for you: My calculator https://amzn.to/2RbhKKj My blackboard https://amzn.to/2WdVUtd ♥♥♥ ♜♞♝♛♚♝♞♜ ♥♥♥ ♟♟♟♟♟♟♟♟♟ --------------------------------------------------------------------- Would you like to support me? Patreon: / mathepeter PayPal: https://paypal.me/peterlehe1?locale.x... --------------------------------------------------------------------- ♙♙♙♙♙♙♙♙ ♥♥♥ ♖♘♗♕♔♗♘♖ ♥♥♥ ✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄ Content: 0:06 What are improper integrals? What types are there? 0:53 Improper integral = limit task 1:04 Example 1: Improper integral of the 1st kind 3:10 Example 2: Improper integral of the 2nd kind 3:38 One-sided limits 5:53 Summary + sketch Example 1&2 Why #MathePeter: Many of you don't find math easy during your studies or training. You even have to write a math exam. To be honest, there are better things in life than preparing for a math exam. During my time as a tutor at university, I noticed that learning math can be easier. On this channel, we work out the basics for your exam together. This channel also serves as a supplement to online and offline tutoring. The goal is to make learning math as easy as possible. Crash courses, videos and video courses are coming in the future. I look forward to hearing from you! Just send me a message.