three integrals (again!)
- To: mathgroup at smc.vnet.net
- Subject: [mg78561] three integrals (again!)
- From: dimitris <dimmechan at yahoo.com>
- Date: Wed, 4 Jul 2007 05:36:52 -0400 (EDT)
In previous post, I made one mistake with the integration variable.
The correct expressions are
Integrate[(Sqrt[1 + m^2*u^2]/u)*Exp[(-y)*(Sqrt[1 + m^2*u^2]/m)]*
Sin[u*x], {u, 0, Infinity}]
Integrate[Exp[(-y)*(Sqrt[1 + m^2*u^2]/m)]*Cos[u*x], {u, 0, Infinity}]
Integrate[u*Exp[(-y)*(Sqrt[1 + m^2*u^2]/m)]*Sin[u*x], {u, 0,
Infinity}]
Any ideas for the integrals will be greatly appreciate.
Thanks