There are two types of ``sine integrals'' commonly defined,
(1) |
(2) | |||
(3) | |||
(4) |
(5) |
(6) |
To compute the integral of a sine function times a power
(7) |
(8) |
(9) |
(10) |
(11) |
(12) |
(13) |
|
(14) |
General integrals of the form
(15) |
See also Chi, Cosine Integral, Exponential Integral, Nielsen's Spiral, Shi, Sici Spiral, Sinc Function
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Sine and Cosine Integrals.'' §5.2 in
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, pp. 231-233, 1972.
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 342-343, 1985.
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T.
``Fresnel Integrals, Cosine and Sine Integrals.'' §6.79 in
Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England:
Cambridge University Press, pp. 248-252, 1992.
Spanier, J. and Oldham, K. B. ``The Cosine and Sine Integrals.''
Ch. 38 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 361-372, 1987.
© 1996-9 Eric W. Weisstein