Formula:64

Digital Library of Mathematical Functions ID 1.4.E16

${\displaystyle{\displaystyle\int fg\mathrm{d}x=\left(\int f\mathrm{d}x\right)g-\int\left(\int f\mathrm{d}x\right)\frac{\mathrm{d}g}{\mathrm{d}x}\mathrm{d}x.}}$

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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