A abby_07 New member Joined Oct 24, 2006 Messages 21 Feb 18, 2007 #1 I would appreciate if you can help me with this problem. I do not know how to start the problem. Can you please help me? Find the indefinite intergral 1/1+(2x)^(1/2) dx and x(x-2)/(x-2)^2 dx
I would appreciate if you can help me with this problem. I do not know how to start the problem. Can you please help me? Find the indefinite intergral 1/1+(2x)^(1/2) dx and x(x-2)/(x-2)^2 dx
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Feb 18, 2007 #2 Find the indefinite integral \(\displaystyle \L\\\frac{1}{1+\sqrt{2x}}dx\) Click to expand... Let \(\displaystyle u=\sqrt{2x}, \;\ x=\frac{u^{2}}{2}, \;\ dx=udu\) \(\displaystyle \L\\\int\frac{u}{1+u}du\)
Find the indefinite integral \(\displaystyle \L\\\frac{1}{1+\sqrt{2x}}dx\) Click to expand... Let \(\displaystyle u=\sqrt{2x}, \;\ x=\frac{u^{2}}{2}, \;\ dx=udu\) \(\displaystyle \L\\\int\frac{u}{1+u}du\)