I'm new to Mathematica so I'm not familiar with its potential use to solve tedious symbolically integrals. I'm trying to solve the following one:
Integrate[(U - 4 k (Sin[y] - 2 Cos[Sqrt[3] x/2] Sin[y/2]))/
Sqrt[(U - 4 k (Sin[y] - 2 Cos[Sqrt[3] x/2] Sin[y/2]))^2 +
4*t^2 (3 + 2 Cos[y] + 4 Cos[y/2] Cos[Sqrt[3] x/2])], {y, 0,
1/Sqrt[3] (x + 2 Pi/Sqrt[3]) + 2 Pi/3}, {x, -2 Pi/Sqrt[3], 0},
Assumptions -> U -> 0]
But it takes a long time without outputting a solution.
I'm not sure if by writing Integrate
is all I can do to solve this integral or if there is something else I could do.
y
depend onx
, then the limits forx
are given first. In other words,{x, -2 Pi/Sqrt[3], 0}
comes before{y, 0, 1/Sqrt[3] (x + 2 Pi/Sqrt[3]) + 2 Pi/3}
. $\endgroup$ – JimB May 15 '16 at 21:45