Question

use integration by parts to find integral of (ln(4x))^2

Answer 1

\[\int\limits_{}^{}(\ln(4x))^2\] dx

Answer 2

I'm not sure what to make u and what to make dv...

Answer 3

you are familiar with the formula for using integration by parts, correct?

Answer 4

yes

Answer 5

\[uv-\int\limits_{}^{}v (du)\]

Answer 6

\[\int\limits_{}^{}fdg = fg - \int\limits_{}^{}gdf\]
i would start with this

f = ln^2|4x|
df = (2ln|4x|)dx

dg = dx
g = x

Can you proceed from here?

Answer 7

same formula, i just used the notation im familiar with

Answer 8

okay, Yeah I think so. Thanks for the help!

Answer 9

wait df should be
2ln|4x|) / (x) dx

Answer 10

np