Evaluation of $\int^{\infty}_{0} \frac1{1+x^n}dx$ with the use of Residue theorem
102636
Contour Integral: $\int^{\infty}_{0}(1+z^n)^{-1}dz$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
93276
A question on applying Residue Theorem to definite real integral
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
152698
Evaluation of $\sum_{n=0}^{\infty}\frac{1}{(n^4+n^2+1)n!}$
49262
Evaluation of Sum of $ \sum_{n=1}^{\infty}\frac{\sin (n)}{n}$.
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
67263
Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
63251
Evaluation of $\int^1_0\frac{x^b-x^a}{\ln x} d x=\ln{{\frac{1+b}{1+a}}}$
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
151149
$\lim_{n \to \infty} n \int_{1}^{\infty} \frac{dx}{1+x^n}$, solution critique needed
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
49936
Various evaluations of the series $\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)^3}$
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$