On harmonic numbers and nonlinear Euler sums

Evaluations of Euler-Type Sums of Weight $$\le 5$$≤5

“…In [18,21,23,24], we obtain numerous results of some alternating Euler sums of weight ≤ 6. We can use these results to find some nice evaluations of integral of logarithms.…”

“…Hence, in this section, we will give many closed form representations of logarithms' integrals. By using Lemma 2.4, 2.5 and formula (3.6) with the help of results of references [18,21,23,24], the following identities are easily derived…”