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