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Improper Integrals | Calculus 2 Lesson 17 - JK Math
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How to Solve Improper Integrals (Calculus 2 Lesson 17)
In this video we learn about improper integrals and how to solve them by using limits. We look at the two different types of improper integrals and how they can be evaluated by introducing a limit based on the type of improper integral. Improper integrals either involve bounds of integration that are infinite (∞ or -∞) or a function that is not defined for all values that it is being integrated for (an undefined value). We look at examples of each type and go through the solution process step by step.
This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Review of Proper Integrals
1:32 Types of Improper Integrals
2:54 Improper Integrals With Infinite Bounds
5:07 Example - 1/x^2 from 1 to ∞
11:27 Example - 1/x from 1 to ∞
14:34 P-Series Improper Integral (Special Type)
16:05 Example - e^x from -∞ to ∞
21:58 Example - 4/x^2 from 0 to 1 (Part 1)
23:32 Improper Integrals With Infinite Discontinuities
25:11 Example - 4/x^2 from 0 to 1 (Part 2)
29:06 1/x^3 from -1 to 2
39:00 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
In this video we learn about improper integrals and how to solve them by using limits. We look at the two different types of improper integrals and how they can be evaluated by introducing a limit based on the type of improper integral. Improper integrals either involve bounds of integration that are infinite (∞ or -∞) or a function that is not defined for all values that it is being integrated for (an undefined value). We look at examples of each type and go through the solution process step by step.
This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Review of Proper Integrals
1:32 Types of Improper Integrals
2:54 Improper Integrals With Infinite Bounds
5:07 Example - 1/x^2 from 1 to ∞
11:27 Example - 1/x from 1 to ∞
14:34 P-Series Improper Integral (Special Type)
16:05 Example - e^x from -∞ to ∞
21:58 Example - 4/x^2 from 0 to 1 (Part 1)
23:32 Improper Integrals With Infinite Discontinuities
25:11 Example - 4/x^2 from 0 to 1 (Part 2)
29:06 1/x^3 from -1 to 2
39:00 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
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