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## On the calculation of a surface integral

Multivariate Calculus
Tolaso J Kos
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### On the calculation of a surface integral

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:

$$\mathfrak{S}=\iiint \limits_{\mathbb{S}} \cosh (x + y + z ) \, {\rm d} (x, y, z)$$
Imagination is much more important than knowledge.