Damped Exponential Cosine Integral

Author

Eric W. Weisstein
March 23, 2009

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/DampedExponentialCosineIntegral.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/DampedExponentialCosineIntegral.html.

©2009 Wolfram Research, Inc. except for portions noted otherwise

Integral

Integrate[Exp[-ω T]Cos[ω t],{ω,0,∞}]

Integrate[Exp[-ω T]Cos[ω t],{ω,0,∞},Assumptions->T>0&&t>0]