Integrate the function f : R² R defined by f(x, y) = x y as the integrand over the region R bounded by y = 0, x = 0, and y = x + 1.

1

1. Draw and shade the region

2. Set up the integral

f(x,y)dA

where R is viewed as x-simple region

3. Set up the integral

f(x,y)dA

where R is viewed as y-simple region