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-(a*Sqrt[1 - x^2/a^2]) + x*ArcCos[x/a]

Integrate[ArcCos[x/a], x] ==
-(a*Sqrt[1 - x^2/a^2]) + x*ArcCos[x/a] 

                 x
Integrate[ArcCos[-], x] == 
                 a

              2
             x               x
-(a Sqrt[1 - --]) + x ArcCos[-]
              2              a
             a
Time to compute: 0.04 second
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