Complex integration of $\int_{-\infty}^\infty \frac{dx}{(x^2+1)^2(x^2+16)}$
57463
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
24589
Integral of $1/(x^2-1)^2$
1366
Complex Analysis: Complex Integral
81258
Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
89387
Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
67263
Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
126046
solving the integral $ \int_0^\infty \dfrac{\sin xt}{x(x^2+1)} dx $
104094
Integral of $\frac{1}{(1+x^2)^2}$
101587
Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
89602
$ \int_{0}^{ \infty} \int_{0}^{ \infty} \frac { e^{-(x+y)}}{x+y} dx dy $
158147
Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
10319
Definite Integral $\int_{-\infty}^{\infty}\frac{x\sin x}{(x^2+a^2)(x^2+b^2)}\,\mathrm{d}x$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$