D dagr8est Junior Member Joined Nov 2, 2004 Messages 128 Oct 18, 2006 #1 integral 1/(2x) dx u=2x du=2dx = 1/2 integral(1/u) du = 1/2 ln|u|+C = 1/2 ln|2x|+C or integral 1/(2x) dx = 1/2 integral 1/x dx = 1/2 ln|x|+C Why am I getting 2 different answers? Is it because of the +C?
integral 1/(2x) dx u=2x du=2dx = 1/2 integral(1/u) du = 1/2 ln|u|+C = 1/2 ln|2x|+C or integral 1/(2x) dx = 1/2 integral 1/x dx = 1/2 ln|x|+C Why am I getting 2 different answers? Is it because of the +C?
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Oct 18, 2006 #2 "Why am I getting 2 different answers? Is it because of the +C?" Yes indeed. Note that ln(|2x|)=ln(|x|)+ln(2) and ln(2) is a constant.
"Why am I getting 2 different answers? Is it because of the +C?" Yes indeed. Note that ln(|2x|)=ln(|x|)+ln(2) and ln(2) is a constant.
