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Question: problem with int

Question:problem with int

mehdi jafari 769 Maple
integration syntax simplify numeric
January 07 2019
0

i want to solve an integration as a funstion of T, but it return the integral unevaluated, but when i change the place of "numeric option" it returns sth. what is the problem ?
 

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restart:with(RealDomain):
> 

simplify((2/pi)^(1/2)*(int((exp(-32.74123792568-0.8916456579806e-1*ln(4.852623952*10^9*v^2)))*exp(-v^2/(2*T))*v^3, v = 2 .. 100,numeric,AllSolutions)))

2^(1/2)*(1/pi)^(1/2)*(int(exp((-34.72985611*T-.1783291316*ln(v)*T-.5*v^2)/T)*v^3, v = 2 .. 100, AllSolutions))

 (1)
> 

simplify((2/pi)^(1/2)*(int((exp(-32.74123792568-0.8916456579806e-1*ln(4.852623952*10^9*v^2)), numeric)*exp(-v^2/(2*T))*v^3, v = 2 .. 100)), AllSolutions);

.2419366578*exp((-32.74123793*T-5000.000000)/T)*((1.000000000*T+2.000000001)*exp(4998./T)-.5022352314*exp(5000./T)*T-.4977647690*T-2488.823845)*(1/pi)^(1/2)*2^(1/2)*T

 (2)
> 

 

NULL


 

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