פורטל:מתמטיקה/נוסחה נבחרת/11

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

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

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

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

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

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