integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫

(Sqrt[-((-6 + x)*x)]*(Sqrt[-6 + x]*(-3 + x)*Sqrt[x] - 18*Log[2*(Sqrt[-6 + x] + Sqrt[x])]))/(2*Sqrt[-6 + x]*Sqrt[x])


Integrate[Sqrt[6*x - x^2], x] ==
(Sqrt[-((-6 + x)*x)]*(Sqrt[-6 + x]*(-3 + x)*Sqrt[x] - 18*Log[2*(Sqrt[-6 + x] + Sqrt[x])]))/ (2*Sqrt[-6 + x]*Sqrt[x])



                      2
Integrate[Sqrt[6 x - x ], x] == 

(Sqrt[-((-6 + x) x)] (Sqrt[-6 + x] (-3 + x) Sqrt[x] - 
 
      18 Log[2 (Sqrt[-6 + x] + Sqrt[x])])) / 
 
  (2 Sqrt[-6 + x] Sqrt[x])

Time to compute: 0.06 second

Spread the word: