Sr Examen
Integral de e^x/(3+e^(5x)) dx
Solución
Ha introducido
[src]
1 / | | x | E | -------- dx | 5*x | 3 + E | / 0
$$\int\limits_{0}^{1} \frac{e^{x}}{e^{5 x} + 3}\, dx$$
Integral(E^x/(3 + E^(5*x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | x | E / 5 / x \\ | -------- dx = C + RootSum\253125*z - 1, i -> i*log\E + 15*i// | 5*x | 3 + E | /
$$\int \frac{e^{x}}{e^{5 x} + 3}\, dx = C + \operatorname{RootSum} {\left(253125 z^{5} - 1, \left( i \mapsto i \log{\left(15 i + e^{x} \right)} \right)\right)}$$
Gráfica
Respuesta
[src]
/ 5 \ / 5 \ - RootSum\253125*z - 1, i -> i*log(1 + 15*i)/ + RootSum\253125*z - 1, i -> i*log(E + 15*i)/
$$- \operatorname{RootSum} {\left(253125 z^{5} - 1, \left( i \mapsto i \log{\left(15 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(253125 z^{5} - 1, \left( i \mapsto i \log{\left(15 i + e \right)} \right)\right)}$$
=
=
/ 5 \ / 5 \ - RootSum\253125*z - 1, i -> i*log(1 + 15*i)/ + RootSum\253125*z - 1, i -> i*log(E + 15*i)/
$$- \operatorname{RootSum} {\left(253125 z^{5} - 1, \left( i \mapsto i \log{\left(15 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(253125 z^{5} - 1, \left( i \mapsto i \log{\left(15 i + e \right)} \right)\right)}$$
-RootSum(253125*_z^5 - 1, Lambda(_i, _i*log(1 + 15*_i))) + RootSum(253125*_z^5 - 1, Lambda(_i, _i*log(E + 15*_i)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.