MATH 1M03 Study Guide - Midterm Guide: Riemann Sum, Antiderivative

• School: McMaster University
• Department: Mathematics
• Course: MATH 1M03
• Professor: Aaron Childs

Document Summary

Here are some formulas that will be handy to know for test #2. You"ve seen these formulas before, but here they all are in the same place. Fundamental theorem of calculus: this relates de nite integrals to evaluating an antiderivative at the limits of integration. (cid:1) b a f (x) dx = f (b) f (a) where f (x) = f (x). Average value: the average value of the function f over the interval a x b is given by b a (cid:1) b. This is just the area under the curve divided by the length of the interval. Integration by parts: (cid:1) u dv = uv (cid:1) v du. Riemann sum: you really don"t have to memorize a formula for this, but here it is anyway. If you know how to do this question, this is what you"re applying. The nite riemann sum, approximating an area under a curve on the interval a x b, is.