Sr Examen
Integral de x*exp(sqrt(x)^5)-sqrt(x)/sqr(x) dx
Solución
Ha introducido
[src]
1 / | | / / 5\ \ | | | ___ | ___| | | \\/ x / \/ x | | |x*e - -----| dx | | 2 | | \ x / | / 0
$$\int\limits_{0}^{1} \left(- \frac{\sqrt{x}}{x^{2}} + x e^{\left(\sqrt{x}\right)^{5}}\right)\, dx$$
Integral(x*exp((sqrt(x))^5) - sqrt(x)/x^2, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | -4*pi*I | / / 5\ \ ------- | | | ___ | ___| 5 / 5/2 pi*I\ | | \\/ x / \/ x | 2 8*e *Gamma(4/5)*lowergamma\4/5, x *e / | |x*e - -----| dx = C + ----- + ------------------------------------------------- | | 2 | ___ 25*Gamma(9/5) | \ x / \/ x | /
$$\int \left(- \frac{\sqrt{x}}{x^{2}} + x e^{\left(\sqrt{x}\right)^{5}}\right)\, dx = C + \frac{8 e^{- \frac{4 i \pi}{5}} \Gamma\left(\frac{4}{5}\right) \gamma\left(\frac{4}{5}, x^{\frac{5}{2}} e^{i \pi}\right)}{25 \Gamma\left(\frac{9}{5}\right)} + \frac{2}{\sqrt{x}}$$
Respuesta
[src]
-4*pi*I
-------
5 / pi*I\
8*e *Gamma(4/5)*lowergamma\4/5, e /
-oo + --------------------------------------------
25*Gamma(9/5)
$$-\infty + \frac{8 e^{- \frac{4 i \pi}{5}} \Gamma\left(\frac{4}{5}\right) \gamma\left(\frac{4}{5}, e^{i \pi}\right)}{25 \Gamma\left(\frac{9}{5}\right)}$$
=
=
-4*pi*I
-------
5 / pi*I\
8*e *Gamma(4/5)*lowergamma\4/5, e /
-oo + --------------------------------------------
25*Gamma(9/5)
$$-\infty + \frac{8 e^{- \frac{4 i \pi}{5}} \Gamma\left(\frac{4}{5}\right) \gamma\left(\frac{4}{5}, e^{i \pi}\right)}{25 \Gamma\left(\frac{9}{5}\right)}$$
-oo + 8*exp(-4*pi*i/5)*gamma(4/5)*lowergamma(4/5, exp_polar(pi*i))/(25*gamma(9/5))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.