פורטל:מתמטיקה/נוסחה נבחרת/11

$\underset{a}{\overset{b}{\int }}{f}^{\prime }(x)dx=f(b)-f(a)$

$\underset{\gamma }{\int }(\overrightarrow{\mathrm{\nabla }}f)\cdot \overrightarrow{\mathrm{d}r}=f(\gamma (b))-f(\gamma (a))$

${\oint }_{\partial D}(P\mathrm{d}x+Q\mathrm{d}y)=\underset{D}{\iint }(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y})\mathrm{d}x\mathrm{d}y$

$\underset{U}{\iiint }(\overrightarrow{\mathrm{\nabla }}\cdot \overrightarrow{F})\mathrm{d}V=\underset{\partial U}{\iint }\subset \supset \overrightarrow{F}\cdot \mathrm{d}\hat{n}$,

${\oint }_{\partial A}\overrightarrow{F}\cdot \overrightarrow{\mathrm{d}l}=\underset{A}{\iint }(\overrightarrow{\mathrm{\nabla }}\times \overrightarrow{F})\cdot \mathrm{d}\hat{n}$

$\underset{M}{\int }d\omega =\underset{\partial M}{\int }\omega$