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.

Answer 1

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