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-(Sqrt[(-a + x)/(a + x)]*(a + x)) + x*ArcCosh[x/a]

Integrate[ArcCosh[x/a], x] ==
-(Sqrt[(-a + x)/(a + x)]*(a + x)) + x*ArcCosh[x/a] 

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

       -a + x                       x
-(Sqrt[------] (a + x)) + x ArcCosh[-]
       a + x                        a
Time to compute: 0.08 second
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