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2011 Jun 06
2
Taking Integral and Optimization using Integrate, Optim and maxNR
...ntegral of this function with respect to y, such that x would appear in the output after taking integral.
f(x,y)=(0.1766*exp(-exp(y+lnx))*-exp(y+lnx))/(1-exp(-exp(y+lnx))) y in (-6.907,-1.246)
It is doable in maple but not in R. At least I could not find the way.
p.s: result from maple is:
g(x)=dilog*exp(0.001000755564*x)+0.5*ln(exp(0.001000755564*x))^2-dilog*(exp(0.2876531111*x))-0.5*ln(exp(0.2876531111*x))^2
Where dilog=integral(log(t)/(1-t)) for t in (1,x)
Question 2- Then I want to optimize (maximize) the answer of the above integral for x. Assum x in (0,100)
The answer should be somet...