(850, #13) (a) Evaluate

where D is bounded by y = 0, y = x^2 , x = 1 .

(b) What is the relation between the double integral and the curves parallel to the x-z axis displayed below?

Solution: (a)

(b) The curves parallel to the x-z axis correspond to a fixed y; the area bounded by each of these curves is the integral

Maple Code