(1 point) Consider the integral [ L sex, y)dydut Sketch the region of integration and change the order of integration. L r826) f(x, y)dxdy 816) a=0 b = 3 816) = y/3 820) = 3 Get more help from Chegg This suggests that a much better approach is to change variables. We convert the region of integration to a rectangle in the uv-plane, by setting u = x^2 + y^2 and v = y/x^2. (This is not the only reasonable choice of a new coordinate system, but it's one that is easily suggested by the equations of the bounding curves.)
Integration - The Trapezium Rule / Trapezoidal Rule or Trapezoid Rule. The area between a function and the x-axis can be calculated by integration provided that the function in question can be integrated by known techniques. Sometimes we come across functions which cannot be integrated, though. Jun 01, 2018 · Note that we integrated with respect to \(x\) first, then \(y\), and finally \(z\) here, but in fact there is no reason to the integrals in this order. There are 6 different possible orders to do the integral in and which order you do the integral in will depend upon the function and the order that you feel will be the easiest.
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