Tag Archives: euler-sums

This is part 3 of our series on very nasty logarithmic integrals. Please have a look at part 1 and part 2 before reading this post. Integral #5 The first integral that we will evaluate in this post is the … Continue reading →

In this post, we’ll evaluate some more nasty logarithmic integrals. Please read part 1 of this series if you haven’t done so already. Integral #3 We’ll start by finding a closed form for the integral: $$ I_1 = \int_0^1 \frac{\log^2(1+x^2)}{1+x^2}dx … Continue reading →

In this post, we’ll continue our exploration of logarithmic integrals and Euler sums. We’ll also discuss the contour integration method for evaluating Euler sums. It is recommended that the reader goes through the previous posts, (A) and (B), before reading … Continue reading →