IMPROPER INTEGRALS — TYPE 2 📚🔥 | COMPARISON TEST & P-TEST Improper Integrals Type 2 are here! 🔥 In this video, I explain what happens when an integral has a discontinuity: • At the upper endpoint • At the lower endpoint • At a point inside the interval Then I introduce the Comparison Test and show how we use convergence and divergence to determine whether an improper integral converges. I also explain the P-Test and work through 3 examples step by step. Another topic added to the Integration
21:23
IMPROPER INTEGRALS — TYPE 2 📚🔥 | COMPARISON TEST & P-TEST Improper Integrals Type 2 are here! 🔥 In this video, I explain what happens when an integral has a discontinuity: • At the upper endpoint • At the lower endpoint • At a point inside the interval Then I introduce the Comparison Test and show how we use convergence and divergence to determine whether an improper integral converges. I also explain the P-Test and work through 3 examples step by step. Another topic added to the Integration
553 views1 month ago
TikTokvalentinesherekete
In this video, we introduce the calculus of variations from scratch by tackling the classic brachistochrone problem of finding the fastest path between two points. We build intuition by testing small variations on candidate curves, derive the Euler-Lagrange equation using integration by parts, and solve for the optimal cycloid shape. Finally, we examine how this exact principle underpins Snell's law, Lagrangian mechanics, and modern optimal control. #CalculusOfVariations #EulerLagrange #Mathemat
23:13
In this video, we introduce the calculus of variations from scratch by tackling the classic brachistochrone problem of finding the fastest path between two points. We build intuition by testing small variations on candidate curves, derive the Euler-Lagrange equation using integration by parts, and solve for the optimal cycloid shape. Finally, we examine how this exact principle underpins Snell's law, Lagrangian mechanics, and modern optimal control. #CalculusOfVariations #EulerLagrange #Mathemat
5.5K views2 days ago
TikTokthe.synthetic.mind
Obscure Integration Techniques in Calculus Explained
30:50
Obscure Integration Techniques in Calculus Explained
109.7K viewsJan 15, 2025
TikTokmath.at.tiktok
See more
Static thumbnail place holder