Please Help, I'm not sure how to set up this integration; Integrate the given function over the giver surface: h(x,y,z)=yz, over the part of the sphere x^2+y^2+z^2=4 that lies above the cone z=sqrt(x2+y2)
Follow Math Help Forum on Facebook and Google+
Originally Posted by s7b Please Help, I'm not sure how to set up this integration; Integrate the given function over the giver surface: h(x,y,z)=yz, over the part of the sphere x^2+y^2+z^2=4 that lies above the cone z=sqrt(x2+y2) the surface is and to find the region of integration, we have to intersect and the cone, which gives us thus now we have therefore the surface integral is:
can you convert into polar coordinates once you have the integrals of y dxdy to find the limits easier??
Originally Posted by s7b can you convert into polar coordinates once you have the integrals of y dxdy to find the limits easier?? sure you can or just use the symmetry and the fact that the integrand is an odd function.
View Tag Cloud