Riemann sum examples (calculus 1 limits vs integrals)

These limits of Riemann sums (definition of integrals) represent areas! The way to evaluate these scary limits is to convert them into integrals! Then we can use the Fundamental Theorem of Calculus (part 2) to evaluate those integrals. Be sure to try the last 3 questions at the end and comment your answers below. Get a def of the integral t-shirt: https://blackpenredpen.creator-spring.com/listing/definition-of-integral?product=46 Use "WELCOME10" for 10% off Subscribe for more precalculus & calculus tutorials 👉 #justcalculus ------------------- If you find this channel helpful and want to support it, then you can join the channel membership and have your name in the video descriptions: 👉https://bit.ly/joinjustcalculus buy a math shirt or a hoodie (10% off with the code "WELCOME10"): 👉 https://bit.ly/bprp_merch I use these markers 👉 https://amzn.to/3skwj1E ------------------- 😊 Thanks to all channel members 😊 Seth Morris Andrea Mele John Calculus Maths Class --------------------------------------------------------- 0:00 review of the limit of a Riemann sum 3:42 example 1 7:25 example 2 15:52 example 3 19:35 example 4 22:11 you try! "Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence tests, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc --------------------------------------------------------- Best wishes to you!