Finding $\int_{0}^{\infty }\frac{1}{1+x^4}dx$
11757
How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
10806
Find the value of $\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+xy+y^2)} \, dx\,dy$
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
111636
Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
19631
Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
63956
Evaluate $\int_0^{\infty}\frac{\ln x}{x^a(x+1)}dx$ where $0<a<1$
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
108357
Integral $\int_0^\infty \log^2 x\frac{1+x^2}{1+x^4}dx=\frac{3 \pi^3}{16\sqrt 2}$
36366
Prove $\int_0^\infty \frac{\sin^4x}{x^4}dx = \frac{\pi}{3}$
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$