Compute $\int_0^\infty \frac{\ln x}{1+x^2} dx$
100866
Why is $\int_{0}^{\infty} \frac {\ln x}{1+x^2} \mathrm{d}x =0$?
101587
Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
80903
Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
136450
Compute $\lim_{x \rightarrow +\infty} \frac{[\int^x_0 e^{y^{2}} dy]^2}{\int^x_0 e^{2y^{2}}dy}$
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
17986
Contour method to solve $\int^\infty_0\frac{\ln(1+x)}{1+x^2}\,dx$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$