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| May 6th, 2014, 01:33 PM | #1 |
| Senior Member Joined: Nov 2013 Posts: 434 Thanks: 8 | intgrate3
integrate x Sqrt[2-Sqrt[x]]
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| May 6th, 2014, 06:02 PM | #2 |
| Math Team Joined: Dec 2013 From: Colombia Posts: 7,649 Thanks: 2630 Math Focus: Mainly analysis and algebra |
Is this significantly different from the last where the 2 was a 1?
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| May 6th, 2014, 06:42 PM | #3 |
| Global Moderator  Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,933 Thanks: 1128 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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Linear Mode
