S Smilebuffalo Member Joined Jun 9, 2008 Messages 89 Location Fairfield West Gender Male HSC 2010 Jan 28, 2010 #1 integrate sqrt(x)/(x*sqrt(x) +2) u = x*sqrt(x)
L life92 Member Joined May 7, 2008 Messages 81 Gender Male HSC 2009 Jan 28, 2010 #2 lol soz iuno how to use latex but,, u = x root x = x^3/2 therefore, du = (3/2) x^(1/2) dx then integral x^(1/2) / [ x^(3/2) + 2 ] dx = 2/3 integral 1 / (u+2) = 2/3 ln (u+2) = 2/3 ln [ x^(3/2) + 2 ] + c
lol soz iuno how to use latex but,, u = x root x = x^3/2 therefore, du = (3/2) x^(1/2) dx then integral x^(1/2) / [ x^(3/2) + 2 ] dx = 2/3 integral 1 / (u+2) = 2/3 ln (u+2) = 2/3 ln [ x^(3/2) + 2 ] + c
S Smilebuffalo Member Joined Jun 9, 2008 Messages 89 Location Fairfield West Gender Male HSC 2010 Jan 28, 2010 #3 ty
