Sr Examen
Integral de e^(4*x)*(sin(6*x))^1 dx
Solución
Ha introducido
[src]
6 / | | 4*x 1 | E *sin (6*x) dx | / 4
$$\int\limits_{4}^{6} e^{4 x} \sin^{1}{\left(6 x \right)}\, dx$$
Integral(E^(4*x)*sin(6*x)^1, (x, 4, 6))
Respuesta (Indefinida)
[src]
/ | 4*x 4*x | 4*x 1 3*cos(6*x)*e e *sin(6*x) | E *sin (6*x) dx = C - --------------- + ------------- | 26 13 /
$$\int e^{4 x} \sin^{1}{\left(6 x \right)}\, dx = C + \frac{e^{4 x} \sin{\left(6 x \right)}}{13} - \frac{3 e^{4 x} \cos{\left(6 x \right)}}{26}$$
Gráfica
Respuesta
[src]
24 16 24 16
3*cos(36)*e e *sin(24) e *sin(36) 3*cos(24)*e
- ------------- - ----------- + ----------- + -------------
26 13 13 26
$$\frac{e^{24} \sin{\left(36 \right)}}{13} + \frac{3 e^{16} \cos{\left(24 \right)}}{26} - \frac{e^{16} \sin{\left(24 \right)}}{13} - \frac{3 e^{24} \cos{\left(36 \right)}}{26}$$
=
=
24 16 24 16
3*cos(36)*e e *sin(24) e *sin(36) 3*cos(24)*e
- ------------- - ----------- + ----------- + -------------
26 13 13 26
$$\frac{e^{24} \sin{\left(36 \right)}}{13} + \frac{3 e^{16} \cos{\left(24 \right)}}{26} - \frac{e^{16} \sin{\left(24 \right)}}{13} - \frac{3 e^{24} \cos{\left(36 \right)}}{26}$$
-3*cos(36)*exp(24)/26 - exp(16)*sin(24)/13 + exp(24)*sin(36)/13 + 3*cos(24)*exp(16)/26
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.