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Trigonometric Integrals | Calculus 2 Lesson 13 - JK Math

How to Solve Trigonometric Integrals (Calculus 2 Lesson 13) In this video we learn about how to solve trigonometric integrals of certain forms. This includes trig integrals that contain sin(x) and cos(x) where each is raised to a power, and integrals that contain sec(x) and tan(x) where each of those functions are raised to a power. We discuss the techniques that will be used to solve these integrals, as well as the important role that knowing trigonometric identities will play in solving the integrals as well. As such, we will also review the relevant pythagorean identities and half-angle identities you will need to use. 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus 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 Intro to the Specific Forms of Trigonometric Integrals 1:17 Pythagorean Identities (Review) 2:57 Half-Angle Identities (Review) 4:31 Guidelines for Solving Sine & Cosine Integrals 5:32 Example - cos^3(x)*sin^2(x) 10:05 Example - sin^5(x)*cos^4(x) 16:45 Example - cos^2(x)*sin^2(x) 22:44 Guidelines for Solving Secant & Tangent Integrals 23:39 Example - tan(x)*sec^3(x) 26:32 Example - tan^3(x)*sec^4(x) 31:10 Example - tan^5(2x)*sec^2(2x) 34:30 Outro 📝 Examples Video:    • Trigonometric Integrals Examples | Ca...   ⏩ Next Lesson:    • Trigonometric Substitution | Calculus...   📺 Calculus 2 Playlist:    • Calculus 2   📺 Calculus 1 Playlist:    • Calculus 1   🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook:   / jkmathematics   Twitter:   / jk_mathematics   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.