Integrate $\int\limits_0^\infty \frac{{1}}{(a^2+x^2)^7}\,dx\\$
6829
Reduction formula for integral $\int 1/(a^2+x^2)^n dx$
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
111636
Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
140574
Find $\lim_{n\to \infty} \int_0^1 nx^n e^{x^2} dx$
141387
Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$
105860
Evaluate the limit of $(n+1)\int_0^1x^n\ln(1+x)\,dx$ when $n\to\infty$
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
120899
Integration with a constant "a": $ \int_0^a \frac1{\sqrt {a^2-x^2}} dx $
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
151149
$\lim_{n \to \infty} n \int_{1}^{\infty} \frac{dx}{1+x^n}$, solution critique needed
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
89956
Is the integral $\int_0^\infty \frac{\mathrm{d} x}{(1+x^2)(1+x^a)}$ equal for all $a \neq 0$?