Show $\arctan(x+1) - \arctan(x) = \arctan(\frac{1}{x^2 + x +1})$
103144
Is there a way to write this expression differently: $\arctan 1/(1+n+n^2)$?
7500
$\arctan$ of a square root as a rational multiple of $\pi$
25065
What is $\arctan(x) + \arctan(y)$
12158
Show that $\arctan\frac{1}{2}+\arctan\frac{1}{3}=\frac{\pi}{4}$
125735
How do I evaluate $\int_{1/3}^3 \frac{\arctan x}{x^2 - x + 1} \; dx$?
71796
Proving $\rm \frac i 2 \ln\frac {x+i}{x-i}=\arctan x$ .
105164
If $abc=1$, prove that $\frac{2}{(a+1)^2+b^2+1} + \frac{2}{(b+1)^2+c^2+1} + \frac{2}{(c+1)^2+a^2+1} \le 1$.
65562
Proving the inequality $\arctan\frac{\pi}{2}\ge1$
19216
Proving that $\arctan(x)+\arctan(1/x)=\pm \pi/2$, could this line of reasoning possibly be correct?
56059
If $\frac{\sin^4 x}{a}+\frac{\cos^4 x}{b}=\frac{1}{a+b}$, then show that $\frac{\sin^6 x}{a^2}+\frac{\cos^6 x}{b^2}=\frac{1}{(a+b)^2}$
68990
Show that $\frac 1{1+x+y^{-1}}+\frac1{1+y+z^{-1}}+\frac1{1+z+x^{-1}}=1$ if $xyz=1$
8225
Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
63474
Showing $\sum_{i = 1}^n\frac1{i(i+1)} = 1-\frac1{n+1}$ without induction?
75679
How to prove that $2 \arctan\sqrt{x} = \arcsin \frac{x-1}{x+1} + \frac{\pi}{2}$
23018
Integral $\int_a^\infty \frac{\arctan(x+b)}{x^2+c}dx$
123674
Show that $y = \frac{2x}{x^2 +1}$ lies between $-1$ and $1$ inclusive.
60288
Why is $\arctan(x)=x-x^3/3+x^5/5-x^7/7+\dots$?