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# Polar Coordinates and Change Order of Integration; Volume of an Ellipsoid; Change of Variables on Continuous Function of One Variable

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Assuming r, Î¸ are the polar coordinates, change the order of integration:
âˆ«-pi/2-->pi/2 âˆ«0-->a cos Î¸ f(r, Î¸ ) dr dÎ¸

Find the volume of the ellipsoid: x^2/a^2 + y^2/b^2 + z^2/c^2 &#8804; 1

Let a and b be any numbers such that a^2 + b^2 =1 and f(x,y) be a continuous function of one variable. Perform the change of variables :
{u =ax +by
{v=bx - ay

https://brainmass.com/math/integrals/polar-coordinates-change-order-integration-volume-64912

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In the polar system, the region of integration is: , for ...

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Polar Coordinates and Change Order of Integration; Volume of an Ellipsoid; Change of Variables on Continuous Function of One Variable are investigated. The solution is detailed and well presented.

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