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Question: Impossible to solve an integral?

Question:Impossible to solve an integral?

Xan Guillen 20 Maple
complex plot graph integral
January 08 2008
0
Hi, i have been fighting with Maple 11 for a long time and i would like to know if i am doing something wrong or the integral is so complex for the program... I really need to solve this problem soon if i would like to have a successfully Master Thesis :) During the degree i study Maple but i forgot a lot :( Here is the issue: I am working in telecommunication issues and calculating the output power i get this integral: P[through] := int(2.000000000*10^8*(.51-1.428285686*10^(-0.1600000000e-1*Pi)*sqrt(1-k[2]^2)*cos(0.2473600e-2*Pi^2/lambda)+(10^(-0.1600000000e-1*Pi))^2*(1-k[2]^2))/((1-.7141428429*10^(-0.1600000000e-1*Pi)*sqrt(1-k[2]^2))^2*(1+2.856571372*10^(-0.1600000000e-1*Pi)*sqrt(1-k[2]^2)*sin(0.1236800e-2*Pi^2/lambda)^2/(1-.7141428429*10^(-0.1600000000e-1*Pi)*sqrt(1-k[2]^2))^2)), lambda = 6.30*10^(-7) .. 6.35*10^(-7)) There is only still one variable called k[2], and i would like to know the value of k[2] that maximize the P[through], being k[2] a real value between 0 and 1 (i think i have tried everything with assuming...) Is there a way to do this and also to see the expression of P(k[2]) ? Thanks for your help! I have also another problem more strange... When i plot a graph in a range of 50nm the graph is not correct for certain ranges, so i plot again the same function in that range only (smaller range this time), but it is correct in this second graph! I have tried to put higher Digits, but it does not affect anything... Some help? Could be this affecting the integral in this interval?
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