How to make co-ordinate substitution after making a Jacobean transformation?

56 Views Asked by At

A problem asks me to transform the triple integral of f(x,y,z) to f(u,v,w) by given equations[x=au , y=bv , z=cw ], but after transforming can I use the spherical co-ordinates? remember that the triple integral now is in terms of (u,v,w) not (x,y,z). The original integral is : Evaluate triple integral xyz dx dy dz over the ellipsoid [ x^2/a^2 + y^2/b^2 + z^2/c^2 =1]