Applied Mathematics 2277A/B Final: Final Studying Ch 14
5 May 2019
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"we need to define general properties of integrals to find repeated integrals" In a function of 1 variable, we integrate it in 2d. If we have a function of two variables, in order to integrate it we gotta expand it into 3 dimensions. The way that we do that is by changing the differential of integration so we integrate over little 3d prisms instead of 2d rectangles. We"ve been doing this in statics for years, but now we"re looking at the theory behind it. We can extend this concept into integrating n variables in n+1 dimensions. 14. 2 iteration of double integrals in cartesian coordinates. There are types of domains within coordinate systems: y-simple: We say that the domain d in the xy-plane is y-simple if it is bounded by two vertical lines x-simple: We say that the domain d in the xy-plane is x-simple if it is bounded by two horizontal lines.
