Count an integral with parameter $\int_0^1 \frac{\arctan(ax)}{x\sqrt{1-x^2}}$
36128
Using differentiation for computing $\int_{0}^{1}\frac{\arctan(ax)}{x\sqrt{1-x^2}}\,dx$
4573
Explicitly finding the sum of $\arctan(1/(n^2+n+1))$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
127284
Closed form of $\int_0^{\pi/2} \frac{\arctan^2 (\sin^2 \theta)}{\sin^2 \theta}\,d\theta$
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
77053
Evaluating $\int_{0}^{1}\frac{\arcsin{\sqrt{x}}}{x^4-2x^3+2x^2-x+1}\operatorname d\!x$
47793
Integral $\int_0^1\sqrt{1-x^4}dx$
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
104583
Simplify $\int \frac{1}{\sqrt{2-x^2}}\, dx$
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
24589
Integral of $1/(x^2-1)^2$
96414
Using residues to evaluate the integral $\int_{-\pi}^{\pi} \frac{\cos(n\theta)}{1-2a\cos(\theta)+a^2}d\theta$, $|a|<1$
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$