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

Printable View

- Nov 18th 2010, 04:45 PMPlaythiousMultiple 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 - Nov 18th 2010, 11:52 PMFernandoRevilla
Decompose:

Regards.

Fernando Revilla - Nov 19th 2010, 03:00 AMHallsofIvy
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.

- Nov 19th 2010, 03:13 AMFernandoRevilla
Of course is important your comennt ( ) .

Regards.

Fernando Revilla