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  • $\begingroup$ Thanks, your answer was very helpful. $\endgroup$ Commented Nov 15, 2016 at 17:29
  • $\begingroup$ In case I need a symbolic expression for each variable g. Do you think there is some way to get it? $\endgroup$ Commented Nov 17, 2016 at 18:45
  • $\begingroup$ I don't think you are going to be able to find an analytical expression for each integral. I would suggest sticking with numerics for this problem, though I don't want to close the door completely to the possibility that a solution exists. $\endgroup$ Commented Nov 17, 2016 at 19:54