Sr Examen
Integral de e^2*x/sqrt(e^x+1) dx
Solución
Ha introducido
[src]
1 / | | 2 | E *x | ----------- dx | ________ | / x | \/ E + 1 | / 0
$$\int\limits_{0}^{1} \frac{e^{2} x}{\sqrt{e^{x} + 1}}\, dx$$
Integral((E^2*x)/sqrt(E^x + 1), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | / / \ | 2 | | | | E *x | | x | 2 | ----------- dx = C + | | ----------- dx|*e | ________ | | ________ | | / x | | / x | | \/ E + 1 | | \/ 1 + e | | | | | / \/ /
$$\int \frac{e^{2} x}{\sqrt{e^{x} + 1}}\, dx = C + e^{2} \int \frac{x}{\sqrt{e^{x} + 1}}\, dx$$
Respuesta
[src]
/ 1 \ | / | | | | | | x | 2 | | ----------- dx|*e | | ________ | | | / x | | | \/ 1 + e | | | | |/ | \0 /
$$e^{2} \int\limits_{0}^{1} \frac{x}{\sqrt{e^{x} + 1}}\, dx$$
=
=
/ 1 \ | / | | | | | | x | 2 | | ----------- dx|*e | | ________ | | | / x | | | \/ 1 + e | | | | |/ | \0 /
$$e^{2} \int\limits_{0}^{1} \frac{x}{\sqrt{e^{x} + 1}}\, dx$$
Integral(x/sqrt(1 + exp(x)), (x, 0, 1))*exp(2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.