Question: problem with integrating

Hi guys ,


I have the equation dt=(L/r)*(1 - a^3/r^3)^(-1/2) dr which want to integrate on both side and then solve in terms of r.(L and a are constants). I know the answer (r=a (cosh(3t/2*L)^2/3),but it seems maple can not produce it!


Mathematical almost compute it corectly! altough i think  tanh-1, should be cosh^-1(x/a)^3/2


I would appreciate if someone can help me




Thanks so

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