MAT 266 Lecture Notes - Lecture 12: Riemann Sum
Document Summary
Mat266 lecture #12 - 6. 6: improper integrals continued. Test overview: do not need to memorize error bound formula, you need to remember the trapezoid and midpoint rule. That would be incorrect, when doing u-substitution, you need to take the du and substitute. There are 2 improper forms: the integral is not finite, in this case, you use a proper integral first then take the limit. There are three different forms this can show up as: Type 2: if the function goes to infinity. To get a better approximation, push t closer to 0. In this case you use a right hand limit otherwise the limit would not exist. Avoid a because it makes the function go to infinity. Avoid b in this case because again, the function would go to infinity, use point t, slightly below b a t b a
