Answers of the following integrals

[wac03]

you have any intuition about the answers of
the following integrals,
\int_{0}^{1}\int_{0}^{1}u*PolyLog[u*v]*Log[v]/(1-u*vdudv.
and
\int_{0}^{1}\int_{0}^{1}u*PolyLog[u*v]*Log[1-v]/(1-u*v)dudv.
and
\int_{0}^{1}PolyLog[4,u/(u-1)]du.
thank you in advance
wissam

 

[mathmike]

your latex isn't working right, you need to repost so we can read your intergal

 

[fresnelspot]

hi. Why don't you just open the polylogarithm functions in a sum, integrate termwise and than examine whether the resultant serie members lead to a converging serie or not?