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(2*(a + b*x)^(3/2))/(3*b)

Integrate[Sqrt[a + b*x], x] ==
(2*(a + b*x)^(3/2))/(3*b) 

Integrate[Sqrt[a + b x], x] == 

           3/2
2 (a + b x)
--------------
     3 b
Time to compute: < 0.01 second
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