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HI everybody,

var('x u m')
assume(x>0)
assume(m>0)
assume(m<1)
integral(rho*sqrt(1/(-m*sin(u)^2 +1)),(u,0,x))

returns

2*rho*x/m

Expected answer is

elliptic_f(x,m)

Does anyone know how to fix this ?

Thank you.