May 6th, 2014, 02:33 PM  #1 
Senior Member Joined: Nov 2013 Posts: 434 Thanks: 8  intgrate3
integrate x Sqrt[2Sqrt[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 $\displaystyle \int x\sqrt{ab\sqrt{x}}\,dx;\,ab\sqrt{x}\ge0;\,a,b\in\mathbb{R}$ 