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NIntegrate that upper limit is infinite


Dear all:
My question is as follows:
First I definite a function that is:
G[a_]=((-(a-Cos[0.5])^(-3/2))/(3*(10)^2))*(Sin[0.5])^(2)+(1/1-0.1*0.1)*(-(0.005*(1+Cos[0.5])+0.001/1000)*(1+Cos[0.5])^(1/2)*(ArcTan[(a-Cos[0.5])^(1/2)/-(1+Cos[0.5])^(1/2)]-Pi/2)+(0.005*(1-Cos[0.5])-0.001/1000)*(1-Cos[0.5])^(1/2)*(-ArcTanh[(1-Cos[0.5])^(1/2)/(a-Cos[0.5])^(1/2)])


another function is:
P[a_]=Re[N[LegendreP[(-1/2)+i,a]]]       where i =(-1)^(1/2)

then
NIntegrate[G[a]*P[a],{a,1,infinite}]
but get the error message such that I do not get the correct answer
so,please solve my confuse,thank you!

Evanescence 2006/12/1


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