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>> syms r m q t
>> int(sqrt((m-r)^2*(m*r^4+q^2*(m-2*r)*t/(m*r^2*(r^4-q^2*t)))),r)
Warning: Explicit integral could not be found.  

ans =

int(((m*r^4 - (q^2*t*(m - 2*r))/(m*r^2*(q^2*t - r^4)))*(m - r)^2)^(1/2), r)
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