Integral of an L_p function
9159
$L^p$-norm of a non-negative measurable function
59532
Evaluation of this integral.
84311
Elliptic integral $\int^1_0 \frac{K(k)}{\sqrt{1-k^2}}\,dk$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
103374
A Problem on Improper Integrals
121406
Interesting Integration with respect to $[x]$ where $[\cdot]$ is greatest integer function
79590
Riemann and Darboux Integral of a product of two functions
43897
An integral inequality (Rudin $L^p$-spaces 3.12)
109311
Integral of a CDF
156607
Show that $L_p =\frac{1^p+2^p+3^p+...+(p-1)^p}{p}$ is an integer and generalize the integer for all odd integers p
129578
A result of Stieltjes Integral
142025
How can I show that if $f\in L^p(a, b)$ then $\lim_{t\to 0^{+}}\int_{a}^b |f(x+t)-f(x)|^p\ dx=0$..
121310
Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$
117751
An integral of a rational function of logarithm and nonlinear arguments
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
49061
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$