Formula:77

Digital Library of Mathematical Functions ID 1.4.E27

${\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}\int^{x}_{a}f(t)\mathrm{d}t=f(x).}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
 

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