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13.1 Iterated Integrals and area in plane. Evaluate an iterated integral Use an iterated integral to find the area of a plane region. Recall from Calculus I and II…. Hint: Use u-sub. Hint: Use integration by parts!. When domain is rectangular where a<=x<=b and c<=y<=d.
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13.1 Iterated Integrals and area in plane Evaluate an iterated integral Use an iterated integral to find the area of a plane region
Note: We use this notation as long as we haven’t chosen an order of integration (“dxdy” or “dydx”)
What happens if domain isn’t so nice? (aka…not rectangular?)
13.2 Double Integrals and Volume Use double integral to represent the volume of a solid region Use properties of double integrals Evaluate a double integral as an iterated integral
Write domain as a vertically/horizontally simple domain. Then set up iterated integral
Homework Pg. 942 #1-19 odd, 23, 27-31 odd, 33, 35, 39, 47, 49, 51, 59, 61 pg. 952 #