Integral of the Day | 1.22.26 | Looks Simple, Requires Multiple Substitutions скачать в хорошем качестве

Integral of the Day | 1.22.26 | Looks Simple, Requires Multiple Substitutions

Today’s Integral of the Day (1.22.26) was sent to me by none other than Alan Bromborsky— my favorite retired physicist, mathematician, and loyal subscriber. In this video, I walk through the integral using two substitutions, following essentially the same approach Alan used in his original solution. While my final answer is written in terms of natural logarithms, Alan’s solution used hyperbolic functions, leading to an equivalent answer written with an inverse hyperbolic expression. Different routes — same mathematics. 👇 Let me know in the comments: Did you solve this a different way? Did you spot a shortcut or take an alternative approach? Update: After recording this, Dr. Gupta showed me a very clever shortcut solution — I’ll be sharing that method soon. xoxo, Professor V #IntegralOfTheDay #Calculus2 #TrigSubstitution #AdvancedIntegrals #MathWithProfessorV #IntegrationTechniques https://linktr.ee/mathwithprofessorv 📚 If you want guided notes, worksheets, and more detailed walkthroughs, join my YouTube Membership or Patreon for exclusive content! 💡 Support & Exclusive Content 👉 Join my channel for perks:    / @mathwithprofessorv   👉 Become a Patron:   / mathwithprofessorv   Patreon gives you access to exclusive ad-free videos, worksheets, and my full math library. The "Star Pupil Package" tier is only $9.99/month! 📺 Watch Next – Calculus Playlists Full Calculus 1 Video Lectures Playlist:    • Calculus 1 Video Lectures   Full Calculus 2 Integration Playlist:    • Calculus 2 Video Lectures   Calculus 3 Lectures:    • Calculus 3 Video Lectures   ✨ Most Helpful Integration Lessons (Calc 2) Integration by parts:    • Calculus 2: Integration by Parts (Video #1...   Tabular Integration:    • Integration by Parts - Tabular Method | Ca...   Trigonometric integrals:    • Calculus 2: Trigonometric Integrals (Video...   Trigonometric Substitution:    • Calculus 2: Trigonometric Substitution (Vi...   Partial Fraction Decomposition:    • Calculus 2: Integration of Rational Functi...   Strategy for Integration:    • Calculus 2: Strategy for Integration (Vide...   Improper Integrals:    • Calculus 2: Improper Integrals (Video #7) ...   📘 Quick Trig Review Before Integrals Unit Circle:    • Trigonometry: Circular Functions (Section ...   Trig Identities:    • Precalculus: Trigonometric Identities (Sec...   Sum & Difference Formulas:    • Precalculus: Sum and Difference Formulas f...   Double & Half-Angle Formulas:    • Precalculus: The Double-Angle and Half-Ang...   🛍️ Shop & Support Merch: https://math-with-professor-v.mysprea... Amazon Influencer Store: https://amazon.com/shop/mathwithprofe... 📲 Stay Connected IG: @mathwithprofessorv TikTok: @mathwithprofessorv This video is copy protected and cannot be downloaded or used in any capacity without my permission. #mathwithprofessorv #integration #partialfractions #trigonometricsubstitution #trigintegrals #integrals #integralcalculus #calculus2 #calculusvideos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #integrationbyparts #calculuspractice #calc2review #integralpractice #integraloftheday #calculus #uSubstitution #logarithmicdifferentiation #integrationtricks #calculusproblems #mathwithprofessorv #professorv #calc2 #apcalculus #integrationbee #mathtutorial #learncalculus #collegecalculus #mathchallenge #mathcompetition #mathshorts #stemeducation #professorlife #mathed