Question

Compute the volume under the graph of f(x,y)=x^2y on the region D in the first quadrent between the circles x^2+y^2=1 and x^2+y^2=4

Answer 1

should i take the voluem of the whole area, then subtract from it the volume of that small portion

Answer 2

i would, just for simplicities sake

Answer 3

or integrate from r = 1 to 2 in a spherical coord system

but i got no clear idea for that yet

Answer 4

thanks i'll stick to the first method

Answer 5

that would prolly be wise :)