i dun require the full working or any answer, just a simple question.

Qn:

By using an appropriate multiple integration method, compute the volume below the surface z= x^2y and above the regrion D which is in the first quadrant of the xy-plane and has the positive x-axis, positive y-axis, y = 16-x^2 and y = x^2 + 8 as its boundaries.

as shown in the image, tat would be region D which i got.

i intend to integrate dx followed by dy.

my fren and i got different answer because of what we placed in our "dx". may i know what is the upper and lower limit for dx?

also, just for checking, if i chose to integrate dy followed by dx is this correct?

thanks