How to evaluate $\int {{x^2-1}\over{(x^4+3x^2+1)\arctan(\frac{x^2+1}x )}}$
96759
How do you evaluate the integral $\int\frac{x^2-1}{(x^4+3 x^2+1) \tan^{-1}\left(\frac{x^2+1}{x}\right)}\,dx$?
127284
Closed form of $\int_0^{\pi/2} \frac{\arctan^2 (\sin^2 \theta)}{\sin^2 \theta}\,d\theta$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
102932
Integral $\int_0^\infty \frac{\arctan(x) dx}{x(1+x^2)}$?
32312
Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$
132383
Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
60491
Evaluate $ \int_{25\pi/4}^{53\pi/4}\frac{1}{(1+2^{\sin x})(1+2^{\cos x})}dx $
75679
How to prove that $2 \arctan\sqrt{x} = \arcsin \frac{x-1}{x+1} + \frac{\pi}{2}$
48956
Simplify $\arctan (\frac{1}{2}\tan (2A)) + \arctan (\cot (A)) + \arctan (\cot ^{3}(A)) $
104583
Simplify $\int \frac{1}{\sqrt{2-x^2}}\, dx$
151462
Find $\int \limits_0^1 \int \limits_x^1 \arctan \bigg(\frac yx \bigg) \, \, \, dx \, \, dy$
119725
How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?
103144
Is there a way to write this expression differently: $\arctan 1/(1+n+n^2)$?
143734
Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$
38515
Integral of $\frac{1}{x^4+1}$
12158
Show that $\arctan\frac{1}{2}+\arctan\frac{1}{3}=\frac{\pi}{4}$