Question

Interpret the following iterated integrals as double integrals over a domain D. Sketch D and change the order of integration

 (a) ∫∫ f(x,y) ∈[0,3] ∈[0,√3] dy dx

 (b) ∫∫  f(x,y) ∈[1,3] ∈[0,in x]dy dx

 (c) ∫∫ f(x,y) ∈[0,1]  ∈[arctan y,π/4] dx dy

 (d) ∫∫ f(x,y) ∈[√-2,√2] ∈[y²-1,1] dx dy

Answer 1

The domains can be seen below.