Sr Examen
Integral de (e^(2x))/(100+e^(4x)) dx
Solución
Ha introducido
[src]
1 / | | 2*x | E | ---------- dx | 4*x | 100 + E | / 0
$$\int\limits_{0}^{1} \frac{e^{2 x}}{e^{4 x} + 100}\, dx$$
Integral(E^(2*x)/(100 + E^(4*x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / 2*x\ | |e | | 2*x atan|----| | E \ 10 / | ---------- dx = C + ---------- | 4*x 20 | 100 + E | /
$$\int \frac{e^{2 x}}{e^{4 x} + 100}\, dx = C + \frac{\operatorname{atan}{\left(\frac{e^{2 x}}{10} \right)}}{20}$$
Gráfica
Respuesta
[src]
/ 2 \ / 2 / 2\\ - RootSum\1600*z + 1, i -> i*log(1 + 400*i)/ + RootSum\1600*z + 1, i -> i*log\400*i + e //
$$- \operatorname{RootSum} {\left(1600 z^{2} + 1, \left( i \mapsto i \log{\left(400 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(1600 z^{2} + 1, \left( i \mapsto i \log{\left(400 i + e^{2} \right)} \right)\right)}$$
=
=
/ 2 \ / 2 / 2\\ - RootSum\1600*z + 1, i -> i*log(1 + 400*i)/ + RootSum\1600*z + 1, i -> i*log\400*i + e //
$$- \operatorname{RootSum} {\left(1600 z^{2} + 1, \left( i \mapsto i \log{\left(400 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(1600 z^{2} + 1, \left( i \mapsto i \log{\left(400 i + e^{2} \right)} \right)\right)}$$
-RootSum(1600*_z^2 + 1, Lambda(_i, _i*log(1 + 400*_i))) + RootSum(1600*_z^2 + 1, Lambda(_i, _i*log(400*_i + exp(2))))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.