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Evaluating $\int\frac{\log(x+a)}{x}\,dx$ in terms of dilogarithms
As per the title, I evaluated
$$\int\frac{\log(x+a)}{x}\,dx$$
And wanted to make sure my solution is correct, and if not, where I went wrong in my process. Here is my work.
$$\int\frac{\log(x+a)}{x}\,...
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answer
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Integral $\int_0^1 \frac{\log^4(x)}{(1-x)^4}dx$
I am trying to evaluate $$\int_0^1 \frac{\log^4(x)}{(1-x)^4}\,dx$$
This type of integral already has two answers here: Closed form for $\int_0^1 \frac {\log^n(x)}{(1-x)^m} dx$. However I desire to ...
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