Question

Use integration by parts to solve (x+1)ln(2x)

Answer 1

\[\int\limits (x+1).\ln (2x)\]

Answer 2

dv = (x - 1)
u = ln(2x)
du = 1/x dx
v = x^2/2 - x

Answer 3

So the derivative of ln(2x) is the same as that of ln(x)?

Answer 4

yea coz its a chain rule
and it will be:
1/2x * 2
= 2/2x
=1/x

Answer 5

ahhhh okay. thanks, i just wasn't sure on d/dx of ln(2x)