Sr Examen
Integral de 4*e^x/(2*e^(3*x)-5) dx
Solución
Ha introducido
[src]
1 / | | x | 4*E | ---------- dx | 3*x | 2*E - 5 | / 0
$$\int\limits_{0}^{1} \frac{4 e^{x}}{2 e^{3 x} - 5}\, dx$$
Integral((4*E^x)/(2*E^(3*x) - 5), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | x | 4*E / 3 / x 15*i\\ | ---------- dx = C + RootSum|675*z - 32, i -> i*log|E - ----|| | 3*x \ \ 4 // | 2*E - 5 | /
$$\int \frac{4 e^{x}}{2 e^{3 x} - 5}\, dx = C + \operatorname{RootSum} {\left(675 z^{3} - 32, \left( i \mapsto i \log{\left(- \frac{15 i}{4} + e^{x} \right)} \right)\right)}$$
Gráfica
Respuesta
[src]
/ 3 / 15*i\\ / 3 / 15*i\\
- RootSum|675*z - 32, i -> i*log|1 - ----|| + RootSum|675*z - 32, i -> i*log|E - ----||
\ \ 4 // \ \ 4 //
$$- \operatorname{RootSum} {\left(675 z^{3} - 32, \left( i \mapsto i \log{\left(1 - \frac{15 i}{4} \right)} \right)\right)} + \operatorname{RootSum} {\left(675 z^{3} - 32, \left( i \mapsto i \log{\left(e - \frac{15 i}{4} \right)} \right)\right)}$$
=
=
/ 3 / 15*i\\ / 3 / 15*i\\
- RootSum|675*z - 32, i -> i*log|1 - ----|| + RootSum|675*z - 32, i -> i*log|E - ----||
\ \ 4 // \ \ 4 //
$$- \operatorname{RootSum} {\left(675 z^{3} - 32, \left( i \mapsto i \log{\left(1 - \frac{15 i}{4} \right)} \right)\right)} + \operatorname{RootSum} {\left(675 z^{3} - 32, \left( i \mapsto i \log{\left(e - \frac{15 i}{4} \right)} \right)\right)}$$
-RootSum(675*_z^3 - 32, Lambda(_i, _i*log(1 - 15*_i/4))) + RootSum(675*_z^3 - 32, Lambda(_i, _i*log(E - 15*_i/4)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.