Evaluate $\int_{0}^{+\infty}\frac{\sin x}{x}dx$
132000
Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths
143734
Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$
12604
Evaluate $\int_0^\pi xf(\sin x)dx$
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
123500
Integration of $\frac {1}{1+\sin x}$
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
109785
show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
91290
Evaluating $\lim_{n \to \infty} \int_{0}^{\pi} \frac{\sin x}{1+\cos ^2(nx)} dx$
102399
Computing $ \int_0^\infty \frac{\log x}{\exp x} \ dx $
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$