면적분

$\displaystyle \iint_S f \,\mathrm{d}S = \iint_{\Sigma} f(\mathbf{s}(u,\,v)) \left\|\frac{\partial\mathbf{s}}{\partial u} \times \frac{\partial\mathbf{s}}{\partial v}\right\| \mathrm{d}u \,\mathrm{d}v$

$\displaystyle \iint_S \mathbf{F} \cdot \mathrm{d}\mathbf{S} = \iint_{\Sigma} \mathbf{F}(\mathbf{s}(u,\,v)) \cdot \!\left(\frac{\partial\mathbf{s}}{\partial u} \times \frac{\partial\mathbf{s}}{\partial v}\right) \mathrm{d}u \,\mathrm{d}v$

• 선적분
• 켈빈-스토크스 정리
• 발산 정리[3]
• 적분