identidades+de+integracion

Algunas de estas funciones las he visto definidas en ambos intervalos (0 a x) y (x a inf). En ese caso, los dos **//varientes//** se dan. inf)"]]e -t/t dt (Integral Exponencial) ó una variente //no eqivalente//:**
 * gamma = [|la constante][[image:http://math2.org/math/gamma-s.gif align="bottom" link="http://math2.org/math/constants/es-gamma.htm"]][| de Euler] = 0.5772156649... **
 * [[image:http://math2.org/math/gamma-l.gif align="baseline"]](x) = Gamma(x) = [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/0-inf.gif align="MIDDLE" caption="(0 to inf)"]]t (x-1) e -tdt** [| (Función Gamma)]
 * B(x,y) = [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/0-1.gif align="MIDDLE" caption="(0 to 1)"]]t (x-1) (1-t) (y-1)dt** [|(Función Beta)]
 * Ei(x) = [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/x-inf.gif align="MIDDLE" caption="(x to

Si(x) = [[image:http://math2.org/math/x-inf.gif align="MIDDLE" caption="(x to inf)"]]sen(t)/t dt (Integral del Seno) ó una variente //no eqivalente//:**
 * Ei(x) = [[image:http://math2.org/math/gamma-s.gif align="MIDDLE"]] + ln(x) + [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/0-x.gif align="MIDDLE" caption="(0 to x)"]](e t - 1)/t dt = gamma + ln(x) + [[image:http://math2.org/math/lsigma.gif align="MIDDLE" caption="(sum)"]](n=1..inf)x n/(n*n!)**
 * li(x) = [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/2-x.gif align="MIDDLE" caption="(2 to x)"]]1/ln(t) dt (Integral del Logaritmo)


 * Si(x) = [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/0-x.gif align="MIDDLE" caption="(0 to x)"]]sen(t)/t dt = PI/2 - [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/x-inf.gif align="MIDDLE" caption="(x to inf)"]]sen(t)/t dt**

inf)"]]cos(t)/t dt (Integral del Coseno) ó una variente //no eqivalente//:**
 * Ci(x) = [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/x-inf.gif align="MIDDLE" caption="(x to


 * Ci(x) = **-** [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/x-inf.gif align="MIDDLE" caption="(x to inf)"]]cos(t)/t dt = gamma + ln(x) + [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/0-x.gif align="MIDDLE" caption="(0 to x)"]] (cos(t) - 1) / t dt**

Shi(x) = senh(t)/t dt (Integral del Seno Hiperbólico) Erf(x) = 2/PI (1/2)e (-t^2) dt = 2/PI (n=0..inf) (-1) n x (2n+1) / ( n! (2n+1) ) (Función de Error) FresnelC(x) = cos(PI/2 t 2) dt FresnelS(x) = sen(PI/2 t 2) dt dilog(x) = ln(t)/(1-t) dt Psi(x) = ln(Gamma(x)) Psi(n,x) = nth derivada de Psi(x) W(x) = inverso de x*e x L sub n (x) = (e x/n!)( x n e -x ) (n) (Polinomial de Laguerre, grado n; (n) significafo nth derivada) Zeta(s) = (n=1..inf) 1/n s** **Función Beta de Dirichlet B(x) = (n=0..inf) (-1) n / (2n+1) x**
 * Chi(x) = gamma + ln(x) + [[image:http://math2.org/math/integral.gif align="MIDDLE" caption="(integral)"]][[image:http://math2.org/math/0-x.gif align="MIDDLE" caption="(0 to x)"]](cosh(t)-1)/t dt (Integral del Coseno Hiperbólico)