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