Hello, im stuck on this double integration question as im not sure how to get the limits to integrate between. If anyone could give me advice on ways to get limits in general, help would be appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Evaluate the following integral

_{R}(xy+cosx)dxdy

where R, the region of integration, is the triangle with vertices at the points

(x,y)=(0,0),(2,0),(1,1)

3. The attempt at a solution

Ok so after drawing a diagram it is clear, taking y as the inner integral, that 0<x<2 are the limits to take for x. It can be seen that y must be above 0 so i thought that would be the lower limit but have no idea what the upper limit of y would be. I know that the sides of the shape are y=x and y=-x+2. Would i have to take the triangle as 2 different shapes, where for shape 1 0<y<y=x and shape 2 0<y<y=-x+2 and then add the shapes?

Help would be appreciated, thanks! :)

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# Homework Help: Double integration - finding the limits

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