Question

integrate by parts: ∫xln(1+x)dx

Answer 1

Integrating by part will do, i think.

Answer 2

\[\large \int u \, dv=uv-\int v \, du.\!\]
Set \(u\) to something easily differentiable.

Answer 3

u=x
dv=ln(1+x)

Answer 4

i got