Hi, Please can someone help me with this problem: find the triple integral over T( using spherical coordinate) T: 0<=x<=1 0<= y<=sqrt(1-x^2) sqrt(x^2+y^2)<= z <= sqrt(2-(X^2+y^2)) please help me just to find the boundaries of the integrals. I tried but I did not find the solution of the textbook. ( because I set the wrong triple integral) I also tried to draw a picture but ...nothing Thank you
Use the relations between Cartesian (x,y,z) and spherical coordinates ([itex]r,\theta,\phi[/tex]) to substitute for x, y and z: [tex]x=rsin(\phi)cos(\theta)[/tex] [tex]y=rsin(\phi)sin(\theta)[/tex] [tex]z=rcos(\phi)[/tex] where phi is the angle between a vector and the z-axis. theta is the angle between the projection on the x,y plane ad the x-axis.