Difficulty in solving an integral in Mathematica

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 2K views
k0st123
Messages
2
Reaction score
0
Hello,

I have to solve the following integral in Mathematica but although I don't get any mistakes the value I get is <10^-700 which can't be right!

For the following values

b=0.052868
c=0.998047
g=0.00762712
s=0.902416

I have to solve the following:

Fx = Table[NIntegrate[(Exp[-t*x^2/g]/x^3)*(Sin[x] - x*Cos[x])*(b*x*Sin[x]*Cos[s*x] - (c*Sin[x] - x*Cos[x])*Sin[s*x])/((c*Sin[x] - x*Cos[x])^2 + (b^2*x^2*Sin[x]^2)),{x, 0, Infinity}],{t, 13, 100, 1}];

Could you possibly help me?I guess the problem is the exponential part which is really huge.This problem has been bothering me for a couple of weeks now!

Thank you guys

k0st123
 
Physics news on Phys.org
It works fine up to t = 42. For t=43, the integral doesn't converge to the prescribed accuracy. You need to tweak the desired accuracy.