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Results tagged with integration
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user 169432
Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
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A "simple" surface-integral over the unit-sphere [closed]
Calculate
$$
I=\iint_{x^2+y^2+z^2=1}{e^{x-y} \mathbb{d}S}
$$
Parameterization is not helpful:
$$
I=\int_0^{2\pi}{\mathbb{d}\varphi\int_0^\pi{e^{\sin\theta(\cos\varphi-\sin\varphi)}\sin\theta\mathbb{d …
- 111