Evaluate improper integral $\int_0^\infty \frac{x\sin x}{x^2+1}dx$
119725
How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?
116294
improper integral calculation
65982
Evaluate the improper integral $ \int_0^1 \frac{\ln(1+x)}{x}\,dx $
65337
Compute $\int_{0}^{\infty}\frac{x\sin 2x}{9+x^{2}} \, dx$
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
156531
Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
10547
$\int_0^\infty \frac{\sin(x^2+ax)}{x}\,dx$ converges
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
15324
A sine integral $\int_0^{\infty} \left(\frac{\sin x }{x }\right)^n\,\mathrm{d}x$
9730
Solve the integral $\int_0^\infty x/(x^3+1) dx$
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
29425
$\int_{0}^{\infty}\frac{\sin^{2n+1}(x)}{x} \mathrm {d}x$ Evaluate Integral
155981
Evaluate an proper integral:$\int_0^\infty x\left(\log\left(\frac1{x^2}\right)\right)^n dx$