$\int_0^{\pi/4} (\ln\sin x)^2 \, dx$
69000
Looking for closed-forms of $\int_0^{\pi/4}\ln^2(\sin x)\,dx$ and $\int_0^{\pi/4}\ln^2(\cos x)\,dx$
63167
Evaluate integral $\int_0^\frac{\pi}{2} \ln\left(\frac{1+a\cos x}{1-a\cos x}\right) \frac{\mathrm{d} x}{\cos x}$ for $\left|a\right|<1$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
30731
Integral ${\frac{1}{\pi^2}} \int_{0}^{\infty}\frac{{(\ln{x}})^2}{\sqrt{x}{(1-x)^2}} \mathrm d x$
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
139297
Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
11499
How to show the inequality for $\int_{0}^{\pi/4}\tan^n(x) dx$
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
147759
Integral $ \dfrac { \int_0^{\pi/2} (\sin x)^{\sqrt 2 + 1} dx} { \int_0^{\pi/2} (\sin x)^{\sqrt 2 - 1} dx} $
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
71742
integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
47793
Integral $\int_0^1\sqrt{1-x^4}dx$
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
96191
Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis