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On the calculation of a surface integral

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

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Post by Tolaso J Kos » 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:

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