Any ideas how I go about starting this problem. I cant find anything relevant in my notes..
Use the transformationx = au, y = bv, z = cw to evaluate the integral
integral integral integral(R) 1dV
whereR is the region bounded by the ellipsoid
(x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1
and hence calculate the volume of R.
Any help would be much appreciated
Thanks alot for the reply... I'm not sure i really understand the answer to my last question. Is there any way you could step through the following question..?
Use the variable transformationu = x − y and v = x + y to evaluate the integral integral(S) sin(x − y) cos(x + y) dA,
where S is the square with vertices (0, 0), (pi/2, pi/2), (pi/2,-pi/2) and (pi, 0).