How can i solve this complicated problem????restart:
R:=3:
kappa:=2.4048/R:
a:=-mu^2/kappa^2:
sigma1:=Int(t^2*BesselJ(0,t)*BesselJ(1,t)*exp(a*t^2),t=0..2.4048):
sigma2:=Int(t^3*BesselJ(0,t)^2*exp(a*t^2),t=0..2.4048):
sigma3:=int(t*BesselJ(0,t)^2*exp(a*t^2),t=0..2.4048):
sigma4:=Int(t*BesselJ(0,t)^2*BesselJ(0,(q*t)/kappa)*exp(a*t^2),t=0..2.4048):
s[q]:=(sigma4/sigma3)^2:
epsilon:=lambda^2/2+kappa^2+mu^2*(2-(2*sigma1-(mu/kappa)2*sigma2)/sigma3):
h:=(s[q]*exp(q^2/(2*lambda^2))*erfc(q/(sqrt(2)*lambda))):

Hi all

please help me to solve it

and give results please.......

sorry , i forget the term so the question is :

int ( q  * exp((1-b)^2* q_z^2 / lambda[1] ) * exp((1-b)^2* q^2 / lambda[2])   /  ((1+b^2*q^2+b^2*q_z^2)*(q^2+q_z^2)) , q_z= -infinity..infinity)  then w.r.t     q  from (0......infinity)

after integration we want to minimize the results , the range is as (b=0..1), ( lambda[1])  =1....100000) ,   (lambda[2])  =1....100000)

i have this integration:

int(q*exp((1-b)^2* q_z^2/lambda )/((1+b^2*q^2+b^2*q_z^2)*(q^2+q_z^2)),q_z=-infinity..infinity) then w.r.t      q  from (0......infinity)