Question

Calculate the Total Flux of the field F(x,y,z)=(2x−5y−3)i+(2y+5x−2)j+z^6k outward through the surface of the closed cylinder x^2+y^2 less than or equal to 4 and −8 less than or equal to z less than or equal to 8

1. Flux across the top = ???
2. Flux across the sides = ???
3. Flux across the bottom =???