Math241 Section14 2

Summary

Double integrals in polar coordinates. Changing iterated integrals between vertically simple, horizontally simple and polar to facilitate integration. Use of double integrals in calculating mass and area, and how this relates to the original use for volumes, and a summary. Introduction to double integrals and what they mean. Iterated double integrals and evaluation. Vertically and horizontally simple. Spherical coordinates example with integration. Is simply to plug in y equals 0 and x equals 0 so when y equals 0 we have x squared over 4 equals 1 so x is plus or minus Change of variables in double integrals and a basic example. So one this y equals 1 over X I'm going to write this as X y equals 1/