Gauβ's divergence theorem

int(S) (sin(x)dydz +(1-cos(x))ydzdx), S : x^2+y^2+z^2=1

=int(V) {∂x(sin(x))+∂y((1-cos(x))y)} dV, dV=dxdydz, V : x^2+y^2+z^2<=1

=int(V)dV

=4π/3

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