Integrate $\frac{1}{(1+x^2)(1+x^c)}$ from $0$ to $\infty$ for any $c$.
89956
Is the integral $\int_0^\infty \frac{\mathrm{d} x}{(1+x^2)(1+x^a)}$ equal for all $a \neq 0$?
45872
Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
42758
How to find $ \int_0^\infty \dfrac x{1+e^x}\ dx$
65407
Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
100866
Why is $\int_{0}^{\infty} \frac {\ln x}{1+x^2} \mathrm{d}x =0$?
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
13978
Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
21390
How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$.
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
80736
How to integrate $\int\frac{\sqrt{1+x^2}}{x}\,\mathrm dx$