hello,
I would like to find the volume in the first octant bounded by the
parabloid z= 1 - x^2 - y^2 and the plane x+y=1
the limits of the integral w.r.t. y are y = 0 to y=1
... .... .... w.r.t. x are x= 1-y to x= (1-y^2)^(1/2)
... ... .... w.r.t z are z=0 to z= 1 - x^2 - y^2
I can do the differentiation w.r.t z and x but it gets to difficult for me to do it w.rt. y.
can someone help me? much appreciated!