Sr Examen
Integral de e^(x^4) dx
Solución
Ha introducido
[src]
1 / | | / 4\ | \x / | E dx | / 0
$$\int\limits_{0}^{1} e^{x^{4}}\, dx$$
Integral(E^(x^4), (x, 0, 1))
Respuesta (Indefinida)
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/ -pi*I | ------ | / 4\ 4 / 4 pi*I\ | \x / e *Gamma(1/4)*lowergamma\1/4, x *e / | E dx = C + -------------------------------------------- | 16*Gamma(5/4) /
$$\int e^{x^{4}}\, dx = C + \frac{e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) \gamma\left(\frac{1}{4}, x^{4} e^{i \pi}\right)}{16 \Gamma\left(\frac{5}{4}\right)}$$
Gráfica
Respuesta
[src]
-pi*I
------
4 / pi*I\
e *Gamma(1/4)*lowergamma\1/4, e /
-----------------------------------------
16*Gamma(5/4)
$$\frac{e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) \gamma\left(\frac{1}{4}, e^{i \pi}\right)}{16 \Gamma\left(\frac{5}{4}\right)}$$
=
=
-pi*I
------
4 / pi*I\
e *Gamma(1/4)*lowergamma\1/4, e /
-----------------------------------------
16*Gamma(5/4)
$$\frac{e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) \gamma\left(\frac{1}{4}, e^{i \pi}\right)}{16 \Gamma\left(\frac{5}{4}\right)}$$
exp(-pi*i/4)*gamma(1/4)*lowergamma(1/4, exp_polar(pi*i))/(16*gamma(5/4))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.