Formula:3001

Digital Library of Mathematical Functions ID 6.14.E5

${\displaystyle{\displaystyle\int_{0}^{\infty}\cos t\mathrm{Ci}\left(t\right)\mathrm{d}t=\int_{0}^{\infty}\sin t\mathrm{si}\left(t\right)\mathrm{d}t=-\tfrac{1}{4}\pi,}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}$: cosine integral
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathrm{si}\left(\NVar{z}\right)}}$: sine integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
 

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