How to compute: $\int\limits_0^{\infty} \frac{x^{1/3}}{1+x^{2}} dx$
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
85618
Integral of $\frac{x^\alpha}{(1 + x^2)^2}$ from 0 to $\infty$ using contour integration for $-1 < \alpha <3$
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
46898
Fast calculation for $\int_{0}^{\infty}\frac{\log x}{x^2+1}dx=0$
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
93205
Compute: $\int_{0}^{1}\frac{x^4+1}{x^6+1} dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
96505
Compute $\int_0^\infty \left(\frac{1}{x}\right)^{\ln(x)}\,\mathrm{d}x$
140203
Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ .
27717
Compute $\lim_{x\to\infty}x\;\left[\left(1+\frac{1}{x}\right)^x-e\right]$
29383
Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
38511
Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
48985
Calculating $\lim_{x\to+\infty}(\sqrt{x^2-3x}-x)$