Question

Let R be the region in the xy-plane which lies below the curve y = 𝑥^3, above the x-axis and for which 0 ≤ x ≤2. Compute the integral ∫∫R(𝑥+𝑦)𝑑A
a. integrating y first then x.
b. integrating x first then y.

Answer 1

∫[0,2] ∫0,x] dy dx
∫[0,8] ∫[0,∛y] dx dy