How can one estimate $(1/2)\int_{-\pi}^{\pi}|D_N|dx$,here DN is the Dirichlet kernel
31199
Divergence $\int_{-\pi}^{\pi} |D_n(x)|dx$ for Dirichlet kernel as $n\to\infty$
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
103550
Multiplicative Euclidean Function for an Euclidean Domain
24653
Integral in $n-$dimensional euclidean space
151344
Finding $\int_{0}^{1}\int_{0}^{1}\int_{0}^{1} \left\{\frac{x}{y}\right\} \left\{\frac{y}{z}\right\}\left\{\frac{z}{x}\right\} dx\space dy\space dz $
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
118056
Limit of a Wiener integral
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
105527
Show that $\lim_{r\to 0} \frac{1}{r^2}\int_{C_{r}}f(z)dz = 2 \pi i\frac{\partial f}{\partial \bar{z}}(z_0)$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
84311
Elliptic integral $\int^1_0 \frac{K(k)}{\sqrt{1-k^2}}\,dk$
57838
Dirichlet approximation theorem proof
137045
The estimate of real and imaginary part of a holomorphic function
133212
$\int_C \frac{\log z}{z-z_0} dz$ - Cauchy theorem with $z_0$ outside the interior of $\gamma$
100559
Gaussian integral with a shift in the complex plane
90439
When does (Riemann) regularization work?