Sine Integral and Cosine Integral
special functions respectively defined by the integrals
These functions were introduced by the Italian mathematician L. Mascheroni in 1790. However it was already known (1781) to L. Euler that
This integral is the simplest example of an improper integral that is convergent but not absolutely convergent. The functions Si (x) and Ci (x) are encountered in various problems of analysis and engineering, and comprehensive tables of them are available.
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