Re:Stepping into math: Open-sourcing our step-by-step solver
by yequalsx on Thursday January 19, 2017 @08:00PM
(#13440932)
u = ln(x) and dv = 1
du = 1/x and v = x
integral ln(x) = x ln(x) - integral 1/x times x
integral ln(x) = x ln(x) - x + C
I could give integral arctan(x) but with the advent of computer algebra systems I'm mostly interested in them knowing the basic examples and to not burden them on a test with something more complicated.
EDIT: The derivative of 1/x is not ln(x) as you stated. You got it backwards and my guess is that is the source of your confusion.
du = 1/x and v = x
integral ln(x) = x ln(x) - integral 1/x times x
integral ln(x) = x ln(x) - x + C
I could give integral arctan(x) but with the advent of computer algebra systems I'm mostly interested in them knowing the basic examples and to not burden them on a test with something more complicated.
EDIT: The derivative of 1/x is not ln(x) as you stated. You got it backwards and my guess is that is the source of your confusion.