Let f(x,y)=sqrt(1-x^2) and R be the triangular region with corners (0,0), (1,0), and (1,1). Evaluate the double integral(R) f(x,y)dA.
the bounds on x are [0,1]
The bounds on y are [0,x]
Now just do the double integral of
sqrt(1-x^2) dy dx
using those bounds