DLMF:1.6.E38 (Q219)

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Language	Label	Description	Also known as
English	DLMF:1.6.E38	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{\mathbf{c}}\mathbf{F}\cdot\mathrm{d}\mathbf{% s}=\int^{b}_{a}\mathbf{F}(\mathbf{c}(t))\cdot\mathbf{c}^{\prime}(t)\mathrm{d}t% =\int^{b}_{a}\left(F_{1}\frac{\mathrm{d}x}{\mathrm{d}t}+F_{2}\frac{\mathrm{d}y% }{\mathrm{d}t}+F_{3}\frac{\mathrm{d}z}{\mathrm{d}t}\right)\mathrm{d}t=\int_{% \mathbf{c}}F_{1}\mathrm{d}x+F_{2}\mathrm{d}y+F_{3}\mathrm{d}z.}}

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DLMF:1.6.E38

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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