Question

Evaluate ∫∫xydxdy for x, y ∈ [R]  where R is the region bounded by the x-axis, ordinate at x = 2a and x² = 4ay. 

Answer 1

When x = 2a and x² = 4ay

∴ 4a² = 4ay

⇒ y = a

∴ The point of intersection of

x = 2a and x² = 4ay is (2a, a)