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Dec
24
comment How can I calculate an integral, perhaps using residues?
Mmmmm, it`s very interesting suggestion, I`d never think about that. I try it, but, however, Mathematica 8 can`t calculate needed integrals. But it may be useful for Plot, isn`t it?
Dec
24
comment How can I calculate an integral, perhaps using residues?
Can it be modified to compute integrals of the following type Integrate[Cos[a*s]P(s)/Q(s){s,0,Infinity}]? Because the function Cos has no poles on the real axis. Or maybe you know how to "effectively" plot the integral above using the PrincipalValue?
Dec
24
comment How can I calculate an integral, perhaps using residues?
And what does it do, sorry?
Dec
24
comment How can I calculate an integral, perhaps using residues?
Well then, I should describe the problem that I get. I need to plot the following improper integral Plot3D[Integrate[( 1.4142* Sqrt[s*(0.1*s + Sqrt[ 4 + 0.01*s^2])])/(s^3 Sqrt[ 4 + 0.01*s^2] (-78.9568 + s*(0.1*s + Sqrt[ 4 + 0.01*s^2]))) (1 - s*Sqrt[ 4 + 0.01*s^2]) Cos[(Pi + t)s] * Sin[0.707*x*Sqrt[s* (0.1*s + Sqrt[ 4 + 0.01*s^2])]], {s, 0., Infinity}, PrincipalValue -> True, Assumptions -> t + Pi > 0],{t,-Pi,Pi},{x,0,1}]. But have not any result. So, I thought compute this integral using Residues and then try plot.
Dec
24
asked How can I calculate an integral, perhaps using residues?