SKEDSOFT

Maths For Engineers - 1

Problems on Integrals Theorem-3:

1. Using divergence theorem, evaluate and S is the surface of the solid cut off the plane x y z = a from the first octant.

Solution: Now

                

Hence, by divergence theorem we get;

  

2. Evaluate where S is the surface of the sphere x2 y2 z2 = 1.

Solution: Let,