The book prescribes the transformation T(u,v) = (u-^{2}v, 2^{2}uv) where x =u-^{2}vand y = 2^{2}uv. Using this information, I have found that the Jacobian of the transformation as 4(u^{2}+ v), resulting in the following:^{2}

I am just unable to findR, the region of integration. I graphed it in thexyplane looked like a the tip of a leaf protruding over the x-axis.

My biggest problem is that thisis nota linear transformation and my professor hasn't taught us how to tackle those.

Any help will be greatly appreciated,

--Giest