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📝 Download the worksheet for this video: https://www.jkmathematics.com/integra... How To Solve The Indefinite Integral of cos(lnx) In this video we look at how to integrate cos(lnx) by first using u-substitution and then integration by parts. Specifically, we answer the question: “Find the integral using substitution first, then using integration by parts.” Found this video to be helpful? Consider giving this video a like and subscribing to the channel! 🌐 Visit My Website: https://www.jkmathematics.com 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus Video Chapters: 0:00 Discussing Strategy 1:20 Step 1: Substitution 5:38 Step 2: Integration By Parts (1st Time) 11:27 Step 3: Integrating By Parts (2nd Time) 14:37 Step 4: Simplify & Substitute Back More Videos on Integration By Parts: ⏩ Lesson Video: • Integration By Parts | Calculus 2 Les... ⏩ Examples Video: • Integration By Parts Examples | Calcu... ⏩ Tabular Method Lesson: • Tabular Method - Integration By Parts... ⏩ Tabular Method Examples: • Tabular Method - Integration By Parts... ⏩ Integral of sin(√x): • Integral of sin(√x) Using Integration... ⏩ Integral of cos(√x): • Integral of cos(√x) Using Integration... 📺 Calculus 2 Playlist: • Calculus 2 📺 Calculus 1 Playlist: • Calculus 1 ⚡️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.