Sr Examen
Integral de e^(3x)/(16+e^(6x)) dx
Solución
Ha introducido
[src]
1 / | | 3*x | E | --------- dx | 6*x | 16 + E | / 0
$$\int\limits_{0}^{1} \frac{e^{3 x}}{e^{6 x} + 16}\, dx$$
Integral(E^(3*x)/(16 + E^(6*x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / 3*x\ | |e | | 3*x atan|----| | E \ 4 / | --------- dx = C + ---------- | 6*x 12 | 16 + E | /
$$\int \frac{e^{3 x}}{e^{6 x} + 16}\, dx = C + \frac{\operatorname{atan}{\left(\frac{e^{3 x}}{4} \right)}}{12}$$
Gráfica
Respuesta
[src]
/ 2 \ / 2 / 3\\ - RootSum\576*z + 1, i -> i*log(1 + 96*i)/ + RootSum\576*z + 1, i -> i*log\96*i + e //
$$- \operatorname{RootSum} {\left(576 z^{2} + 1, \left( i \mapsto i \log{\left(96 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(576 z^{2} + 1, \left( i \mapsto i \log{\left(96 i + e^{3} \right)} \right)\right)}$$
=
=
/ 2 \ / 2 / 3\\ - RootSum\576*z + 1, i -> i*log(1 + 96*i)/ + RootSum\576*z + 1, i -> i*log\96*i + e //
$$- \operatorname{RootSum} {\left(576 z^{2} + 1, \left( i \mapsto i \log{\left(96 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(576 z^{2} + 1, \left( i \mapsto i \log{\left(96 i + e^{3} \right)} \right)\right)}$$
-RootSum(576*_z^2 + 1, Lambda(_i, _i*log(1 + 96*_i))) + RootSum(576*_z^2 + 1, Lambda(_i, _i*log(96*_i + exp(3))))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.