Evaluate the following integral over the region T where T isthe tr.pdf

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Evaluate the following integral over the region T where T isthe triangle consisting of all points (x,y) such that 0 x \\2 and 0 y x (x3ycos x) dA T Evaluate the following integral over the region T where T isthe triangle consisting of all points (x,y) such that 0 x \\2 and 0 y x (x3ycos x) dA T Solution pi/2 x (x3ycosx) dydx x=0 y=0 pi/2 (x5cosx)/2 dx x=0 After using integration by parts 5times (follow the link to see exactly how it is done http://www.wolframalpha.com/input/?i=int+(((x^5)*cos(x))/2)+dx) ~=.2714.

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