How to integrate $\int_{-\infty}^{+\infty} e^{-x^2}\cos x \, dx$
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
12537
How to Integrate this function $\int(1-x^2)^ndx$
39697
Integration of $e^{ax}\cos bx$ and $e^{ax}\sin bx$
20016
How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
8934
How do I solve this improper integral: $\int_{-\infty}^\infty e^{-x^2-x}dx$?
62109
$\int_{-\infty}^{\infty} \frac{\cos(αx)}{(x^2+1)(x^2+4)} \mathrm dx$ using Complex methods
105260
How to integrate $\int\sqrt{x^2+1}dx$
75562
How to integrate $\int x^2 \sin^2(x)dx$
128600
How to evaluate this integral$\int_{-\infty}^\infty\dfrac{\omega^\alpha e^{i\omega t}}{(\omega_0^2-\omega^2)^{2}+4(\zeta\omega_0\omega)^2}\,d\omega$
29383
Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
56815
how to solve $\int_{-\infty}^\infty e^{-x^2-x{\tau}} \cdot x\ dx$?
64417
Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
69124
Integral $\int_{0}^{\infty}e^{-ax}\cos (bx)\operatorname d\!x$
127756
Integrate $\int \sin (2x) \cos (2x)\,dx$
107296
How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?