Multiple Integration

Consider the rectangles
B1 defined by 0< x <=1, 0<=y<=1
B2 defined by 1<=x<=2, -1<=y<=1
and the function
f(x,y) = { 2x -y if x< 1
{ x^2 + y if x>=1
Compute integral (B1 U B2) of f(x,y)dxdy

Decompose:



Regards.

Fernando Revilla

Start by drawing the two sets on a graph. It should be easy to see that and overlap only on the boundaries so the integral over both is just the sum of the integrals over each, as Fernando Revilla says.

Quote:

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Originally Posted by HallsofIvy

and overlap only on the boundaries so the integral over both is just the sum of the integrals over each, as Fernando Revilla says.

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Of course is important your comennt ( ) .

Regards.

Fernando Revilla