How to derive the Dilogarithm reflection $\operatorname{Li}_2(x)+\operatorname{Li}_2(1-x)=\frac{\pi^2}{6}-\ln(x)\ln(1-x)$?
18518
Proof of dilogarithm reflection formula $\zeta(2)-\log(x)\log(1-x)=\operatorname{Li}_2(x)+\operatorname{Li}_2(1-x)$
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
1043
Image of $L=\{z\in\Bbb C \mid a\operatorname{Re}(z)+b\operatorname{Im}(z)+c=0; a^2+b^2\neq0; a,b,c\in \Bbb R \}$ under the function $e^z$
12072
Analytic solution for $x=\ln(x+1)$
83876
Definite integral, quotient of logarithm and polynomial: $I(\lambda)=\int_0^{\infty}\frac{\ln ^2x}{x^2+\lambda x+\lambda ^2}\text{d}x$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
43956
Differentiating $f(x)^{g(x)}$
26113
Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula
83776
Is there a direct proof of this lcm identity?
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
139631
How to take this exterior derivative of the expression $du - \sum_i p_i dx_i$?
118310
How to find $\operatorname{Gal}(S/\mathbb{Q})$
12698
Orthonormal basis for $\mathcal{L}^2([0,1])$
102649
Prove that $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx=\frac{\pi^2}{96}+\frac{\ln^2 2}{8}$