How to integrate $\int_{0}^{\frac{\pi}{2}}\frac{x\ln{\cos(x)}}{\tan x}dx$?
140122
Integral: $\int_0^1\frac{\mathrm{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
90313
Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
31063
Evaluating $\int_0^2(\tan^{-1}(\pi x)-\tan^{-1} x)\,\mathrm{d}x$
71742
integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
137060
Evaluating $\int_0^{\tfrac{\pi}{4}}\ln(\cos x-\sin x)\ln(\cos x) dx - \int_0^{\tfrac{\pi}{4}}\ln(\cos x+\sin x)\ln(\sin x)dx=\frac{G\ln 2}{2}$
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
75562
How to integrate $\int x^2 \sin^2(x)dx$
136385
Integrate $ \int_{0}^{\frac{\pi}{4}}\tan^{-1}\left(\frac{\sqrt{2}\cos3 \phi}{\left(2\cos 2 \phi+ 3\right)\sqrt{\cos 2 \phi}}\right)d\phi$
43699
How do I integrate $\int \frac{dx}{\sin^3 x + \cos^3 x}$?
151063
Calculate $\int_{0}^{\frac{\pi}{2}}\frac{\sin^{3}(t)}{\sin^{3}(t)+\cos^{3}(t)}dt$ by hands
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
42992
How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
60654
Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$
45841
integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
53518
Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
2411
Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$