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