Sr Examen
Integral de e^x*dx/(e^(2*x)+9) dx
Solución
Ha introducido
[src]
1 / | | x | E | -------- dx | 2*x | E + 9 | / 0
$$\int\limits_{0}^{1} \frac{e^{x}}{e^{2 x} + 9}\, dx$$
Integral(E^x/(E^(2*x) + 9), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / x\ | |e | | x atan|--| | E \3 / | -------- dx = C + -------- | 2*x 3 | E + 9 | /
$$\int \frac{e^{x}}{e^{2 x} + 9}\, dx = C + \frac{\operatorname{atan}{\left(\frac{e^{x}}{3} \right)}}{3}$$
Gráfica
Respuesta
[src]
/ 2 \ / 2 \ - RootSum\36*z + 1, i -> i*log(1 + 18*i)/ + RootSum\36*z + 1, i -> i*log(E + 18*i)/
$$- \operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + e \right)} \right)\right)}$$
=
=
/ 2 \ / 2 \ - RootSum\36*z + 1, i -> i*log(1 + 18*i)/ + RootSum\36*z + 1, i -> i*log(E + 18*i)/
$$- \operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + e \right)} \right)\right)}$$
-RootSum(36*_z^2 + 1, Lambda(_i, _i*log(1 + 18*_i))) + RootSum(36*_z^2 + 1, Lambda(_i, _i*log(E + 18*_i)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.