eexiam
integrate by parts: ∫xln(1+x)dx



This Question is Closed

imron07
Best Response
You've already chosen the best response.
1
Integrating by part will do, i think.

muntoo
Best Response
You've already chosen the best response.
0
\[\large \int u \, dv=uv\int v \, du.\!\]
Set \(u\) to something easily differentiable.

imron07
Best Response
You've already chosen the best response.
1
u=x
dv=ln(1+x)

eexiam
Best Response
You've already chosen the best response.
0
i got dw:1350949609547:dw

eexiam
Best Response
You've already chosen the best response.
0
i think its wrong

imron07
Best Response
You've already chosen the best response.
1
\[u=x, du=dx\\dv=\ln(1+x)dx,v=\frac{1}{1+x}\\\int u\ dv=\frac{x}{1+x}\int \frac{1}{1+x}dx\]

imron07
Best Response
You've already chosen the best response.
1
Finally,\[\int u \ dv=\frac{x}{1+x}\ln(1+x)+C\]

eexiam
Best Response
You've already chosen the best response.
0
ohh ok that makes it easier then.