# integration by part

posted by
**nicholas**
.

s- integral

s (p^5) lnp dp ?

= (lnp)[(p^6)/(6)] - s (i'm confused here)

Let ln p = u and p^5 dv = dv

du = 1/p and v = p^6/6

The integral can be written uv - v du =

(ln p*p^6)/6 - S (p^5/6)

= (1/6)ln p*p^6 - ???

Complete the last step