Question

Integral x*ln(x+1) - x*ln(x) dx

Answer 1

Is it this?
\[\LARGE \int(x*ln(x+1)-x*lnx)~dx\]

Answer 2

exactly (;

Answer 3

by parts ?

Answer 4

Yeah looks like it.....and I think the second one can be looked up on table of integrals. Ill keep playing with it.

Answer 5

simplify a bit before doing by parts

Answer 6

\(\LARGE \int x*\ln(x+1)-x*\ln x~dx\)

\(\LARGE \int x[\ln(x+1)-\ln x]~dx\)

\(\LARGE \int x\ln(1+\frac{1}{x})~dx\)

Answer 7

u = x^2/2
v = ln(1+1/x)

Answer 8

should be easy

Answer 9

Thanks!!!!!

Answer 10

np :)