# Double Integral

1. Dec 18, 2004

### quasar987

I am asked to calculate the double integral of the function

$$f(x,y) = (2x+3y)^2 = 4x^2 + 12xy + 9y^2$$

on the domain defined by a triangle whose summits(?) are at (-1,0), (0,1) and (1,0). I chose to integrate from left to right. So the bounds of my integral are

$$\int_0^1 \int_{y-1}^{1-y} (4x^2 + 12xy + 9y^2)dxdy$$

2. Dec 18, 2004

### arildno

1) Vertices, not summits
2) Looks good to me