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 May 6th, 2014, 02:33 PM #1 Senior Member   Joined: Nov 2013 Posts: 434 Thanks: 8 intgrate3 integrate x Sqrt[2-Sqrt[x]]
 May 6th, 2014, 07:02 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,600 Thanks: 2588 Math Focus: Mainly analysis and algebra Is this significantly different from the last where the 2 was a 1?
 May 6th, 2014, 07:42 PM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,913 Thanks: 1113 Math Focus: Elementary mathematics and beyond No. Using the method found here we may obtain a general solution for $\displaystyle \int x\sqrt{a-\sqrt{x}}\,dx;\,a-\sqrt{x}\ge0;\,a\in\mathbb{R}$ Though giving a more complicated result, that method can also be adapted to give a solution for $\displaystyle \int x\sqrt{a-b\sqrt{x}}\,dx;\,a-b\sqrt{x}\ge0;\,a,b\in\mathbb{R}$

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