Integral Involving Dilogarithms I came across the identity
$$\int^x_0\frac{\ln(p+qt)}{r+st}{\rm d}t=\frac{1}{2s}\left[\ln^2{\left(\frac{q}{s}(r+sx)\right)}-\ln^2{\left(\frac{qr}{s}\right)}+2\mathrm{Li}_2\left(\frac{qr-ps}{q(r+sx)}\right)-2\mathrm{Li}_2\left(\frac{qr-ps}{qr}\right)\right]$$
in a book.  Unfortunately, as of now, I am not very adept at manipulating such integrals and thus I have little idea on how to proceed with proving this identity. For example, substituting $u=r+sx$ doesn't seem to help much. Hence, I would like to seek assistance as to how this integral can be evaluated. Help will be greatly appreciated. Thank you.

Among various ways to do it, this one is simple :

