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

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

(x*Sqrt[c + a*x^2])/2 + (c*Log[2*(a*x + Sqrt[a]*Sqrt[c + a*x^2])])/(2*Sqrt[a])


Integrate[Sqrt[c + a*x^2], x] ==
(x*Sqrt[c + a*x^2])/2 + (c*Log[2*(a*x + Sqrt[a]*Sqrt[c + a*x^2])])/ (2*Sqrt[a])



                      2
Integrate[Sqrt[c + a x ], x] == 

              2
x Sqrt[c + a x ]
---------------- + 
       2
 
                                      2
   c Log[2 (a x + Sqrt[a] Sqrt[c + a x ])]
   ---------------------------------------
                  2 Sqrt[a]

Time to compute: 0.07 second

Spread the word: