filmov
tv
Trigonometric Substitution | Calculus 2 Lesson 14 - JK Math
Показать описание
How to Use Trig Substitution to Solve Integrals (Calculus 2 Lesson 14)
In this video we learn about how to solve integrals involving radicals using trigonometric substitution. We look at certain forms of radical expressions in an integral that can be rewritten using a trig function including sine, secant, and tangent. We discuss when to use each of those trig functions, and why this substitution method works. And of course we take a look at a couple example problems of using trig substitution to solve integrals, including a definite integral, where the process changes slightly.
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 When to use Trig Substitution
1:37 Rule for Substituting Sin(θ)
4:21 Rule for Substituting Tan(θ)
6:03 Rule for Substituting Sec(θ)
7:43 Summary of Trig Sub Rules
9:00 Example - Using Sec(θ)
22:19 Guidelines for Trig Substitution
23:05 Example - Using Sin(θ)
35:09 Example - Using Tan(θ) (Definite Integral)
51:02 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 how to solve integrals involving radicals using trigonometric substitution. We look at certain forms of radical expressions in an integral that can be rewritten using a trig function including sine, secant, and tangent. We discuss when to use each of those trig functions, and why this substitution method works. And of course we take a look at a couple example problems of using trig substitution to solve integrals, including a definite integral, where the process changes slightly.
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 When to use Trig Substitution
1:37 Rule for Substituting Sin(θ)
4:21 Rule for Substituting Tan(θ)
6:03 Rule for Substituting Sec(θ)
7:43 Summary of Trig Sub Rules
9:00 Example - Using Sec(θ)
22:19 Guidelines for Trig Substitution
23:05 Example - Using Sin(θ)
35:09 Example - Using Tan(θ) (Definite Integral)
51:02 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.
0:19:50
Trigonometric Substitution
0:15:55
Integration By Trigonometric Substitution
2:09:24
Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution
0:24:04
Trig substitution integration: x=a*sinθ, calculus 2
0:00:29
know the trig sub table to save your calc 2 grade!!!!
0:51:38
Trigonometric Substitution | Calculus 2 Lesson 14 - JK Math
0:50:20
Calculus 2: Trigonometric Substitution (Video #3)
0:00:39
Basic Trigonometric Substitution #shorts
0:07:02
Chain Rule Differentiation of Inverse Trigonometric Functions: Cosine Inverse and Tan Inverse.
0:08:52
Introduction to trigonometric substitution
0:02:58
Calculus 2: Integration - Trig Substitution (1 of 28) What Is & When to Use Trig Substitution?
0:33:40
Integration Using Trigonometric Substitution (Trig Sub) | Calculus 2 | Math with Professor V
0:38:44
Trigonometric Substitution Examples | Calculus 2 - JK Math
0:00:34
Avoid This Common Mistake With Trigonometric Substitution #shorts
0:12:35
Trigonometric Substitution | Part 1
0:08:45
integral of sqrt(1-4x^2) ,Trig Substitution, calculus 2 tutorial
0:00:43
when calculus students use trig identities too early
0:14:09
❖ Trigonometric Substitution ❖
0:31:29
Trigonometric Integrals
0:23:38
Trigonometric Substitution (Calculus 2)
0:07:22
❖ Trigonometric Substitution - Example 2 ❖
0:26:37
Trig substitution integration: x=a*secθ, calculus 2
0:20:50
Trig substitution integration: x=a*tanθ, calculus 2
0:22:40
What Integration Technique Should I Use? (trig sub, u sub, DI method, partial fractions) calculus 2
Комментарии