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MathGroup Archive 2006

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About NIntegrate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71353] About NIntegrate
  • From: "Evanescence" <origine26 at yahoo.com.tw>
  • Date: Wed, 15 Nov 2006 06:45:09 -0500 (EST)

Dear all: My question is as follows:

First I definite one variable is: a=Cosh[b]
then,I definite two functions:
one is :
P[a_]=(((2)^(1/2))/Pi)*Integrate[(Cosh[I*t])/((a-Cosh[t])^^(1/2)),0,b,t]
  ! (I is the (-1)^(1/2)) ,the upper limit is b, the lower limit is 0)
another
is:G[a_]=((-(a-Cos[0.5])^(-3/2))/(3*(10)^2))*(Sin[0.5])^(2)+(1/1-0.5*0.1)*((0.025*(1+Cos[0.5])+0.4/999)*(1+Cos[0.5])^(1/2)*(ArcTan[(a-Cos[0.5])^(1/2)/(1+Cos[0.5])^(1/2)]-Pi/2)+(0.025*(1-Cos[0.5])-0.4/999)*(1+Cos[0.5])^(1/2)*(ArcTanh[(1-Cos[0.5])^(1/2)/(a-Cos[0.5])^(1/2)])

then
NIntegrate[P[a]*G[a],{a,1,Infinity}]
but get error message is NIntegrate P[a]*G[a] is not numerical at
{a}={2.}
so,please solve my confuse,thank you!

Evanescence 2006/11/15


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