13.3.4.4 Sine and Cosine Integrals

Submitted by admin on Fri, 2007-11-16 11:40

13.3.4.4  Sine and Cosine Integrals

The sine integral is defined as

 

                     

The sine integral is the integration of the dampened sine curve. The sine curve has been dampened by dividing sin t by t. The cosine integral is defined as

 

                     

The sine and cosine integrals are used in number theory, quantum field theory, semi-conductor physics among other application areas. The sine and cosine integrals are obtained by calling the Math::Cephes function sici. For a given argument, the sici function returns both the sine and the cosine integrals.