My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
May 6th, 2014, 01:33 PM   #1
Senior Member
Joined: Nov 2013

Posts: 434
Thanks: 8


integrate x Sqrt[2-Sqrt[x]]
mared is offline  
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?
v8archie is offline  
May 6th, 2014, 06:42 PM   #3
Global Moderator
greg1313's Avatar
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

$\displaystyle \int x\sqrt{a-b\sqrt{x}}\,dx;\,a-b\sqrt{x}\ge0;\,a,b\in\mathbb{R}$
greg1313 is online now  

  My Math Forum > College Math Forum > Calculus


Thread Tools
Display Modes

Copyright © 2019 My Math Forum. All rights reserved.