Trigonometric Integrals Examples | Calculus 2 - JK Math

Опубликовано: 04 Май 2026
на канале: JK Math
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Example Problems For How to Solve Trigonometric Integrals (Calculus 2)

In this video we look at several practice problems of solving trig integrals that contain sin(x) and cos(x) where each is raised to a power, and trig integrals that contain sec(x) and tan(x) where each of those functions are raised to a power. For each form we use various trigonometric identifies that allow us to simplify the integrals and solve them using u-substitution and other integration techniques.

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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 Example 1 - sin^2(x)
4:04 Example 2 - cos^3(x)
8:00 Example 3 - sin^3(x)*cos^4(x)
12:03 Example 4 - cos^4(5x)
23:03 Example 5 - tan^3(x)*sec^3(x)
27:00 Example 6 - tan^4(x)
33:12 Example 7 - tan^3(x)/sec^2(x)
39:38 Outro


📝 Lesson Video For These Examples:    • Trigonometric Integrals | Calculus 2 Lesso...  

⏩ Next Lesson:    • Trigonometric Substitution | Calculus 2 Le...  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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#calculus

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