Calculus 2 Integrals! (Ultimate Playlist) - Midpoint rule, trapezoidal rule and the Simpson’s rule (which numerical method is the best?)

Numerical integration: midpoint rule, trapezoidal rule, and Simpson’s rule. Here we will use them with n=4 to approximate the definite integral of 1/ln(x) from 3 to 5. Thanks to the error-bound formulas, Simpson's rule is usually the best, and then the second best is the midpoint rule, then the trapezoidal rule. However, that is not always true! Check out when the trapezoidal rule beats the midpoint rule: https://youtu.be/qCW2uM7r4Vc Check out when the midpoint rule beats the Simpson's rule: https://youtu.be/3UEHVpqyJ1Y ---------------------- I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ---------------------- Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉 https://www.patreon.com/collection/1703815 Calculus 2 👉 https://www.patreon.com/collection/1716951/ ---------------------- #calculus #bprpcaluclus #mathtutorials #math