Sr Examen
Integral de e^(3*x)*dx/(9+4*e^(6*x)) dx
Solución
Ha introducido
[src]
1 / | | 3*x | E | ---------- dx | 6*x | 9 + 4*E | / 0
$$\int\limits_{0}^{1} \frac{e^{3 x}}{4 e^{6 x} + 9}\, dx$$
Integral(E^(3*x)/(9 + 4*E^(6*x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / 3*x\ | |2*e | | 3*x atan|------| | E \ 3 / | ---------- dx = C + ------------ | 6*x 18 | 9 + 4*E | /
$$\int \frac{e^{3 x}}{4 e^{6 x} + 9}\, dx = C + \frac{\operatorname{atan}{\left(\frac{2 e^{3 x}}{3} \right)}}{18}$$
Gráfica
Respuesta
[src]
/ 2 \ / 2 / 3\\ - RootSum\1296*z + 1, i -> i*log(1 + 54*i)/ + RootSum\1296*z + 1, i -> i*log\54*i + e //
$$- \operatorname{RootSum} {\left(1296 z^{2} + 1, \left( i \mapsto i \log{\left(54 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(1296 z^{2} + 1, \left( i \mapsto i \log{\left(54 i + e^{3} \right)} \right)\right)}$$
=
=
/ 2 \ / 2 / 3\\ - RootSum\1296*z + 1, i -> i*log(1 + 54*i)/ + RootSum\1296*z + 1, i -> i*log\54*i + e //
$$- \operatorname{RootSum} {\left(1296 z^{2} + 1, \left( i \mapsto i \log{\left(54 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(1296 z^{2} + 1, \left( i \mapsto i \log{\left(54 i + e^{3} \right)} \right)\right)}$$
-RootSum(1296*_z^2 + 1, Lambda(_i, _i*log(1 + 54*_i))) + RootSum(1296*_z^2 + 1, Lambda(_i, _i*log(54*_i + exp(3))))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.