On the calculation of a surface integral
Posted: Sun Dec 04, 2016 4:26 pm
Let
$$\mathbb{S}=\left\{ (x, y, z) \in \mathbb{R}^3 \big| x^2 + y^2 +z^2 \leq 1 \right\}$$
Evaluate the surface integral:
$$\mathfrak{S}=\iiint \limits_{\mathbb{S}} \cosh (x + y + z ) \, {\rm d} (x, y, z)$$
$$\mathbb{S}=\left\{ (x, y, z) \in \mathbb{R}^3 \big| x^2 + y^2 +z^2 \leq 1 \right\}$$
Evaluate the surface integral:
$$\mathfrak{S}=\iiint \limits_{\mathbb{S}} \cosh (x + y + z ) \, {\rm d} (x, y, z)$$