Sr Examen
Integral de (5^x)*sin(7x) dx
Solución
Ha introducido
[src]
1 / | | x | 5 *sin(7*x) dx | / 0
$$\int\limits_{0}^{1} 5^{x} \sin{\left(7 x \right)}\, dx$$
Integral(5^x*sin(7*x), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | x x | x 7*5 *cos(7*x) 5 *log(5)*sin(7*x) | 5 *sin(7*x) dx = C - ------------- + ------------------ | 2 2 / 49 + log (5) 49 + log (5)
$$\int 5^{x} \sin{\left(7 x \right)}\, dx = \frac{5^{x} \log{\left(5 \right)} \sin{\left(7 x \right)}}{\log{\left(5 \right)}^{2} + 49} - \frac{7 \cdot 5^{x} \cos{\left(7 x \right)}}{\log{\left(5 \right)}^{2} + 49} + C$$
Gráfica
Respuesta
[src]
7 35*cos(7) 5*log(5)*sin(7)
------------ - ------------ + ---------------
2 2 2
49 + log (5) 49 + log (5) 49 + log (5)
$$- \frac{35 \cos{\left(7 \right)}}{\log{\left(5 \right)}^{2} + 49} + \frac{5 \log{\left(5 \right)} \sin{\left(7 \right)}}{\log{\left(5 \right)}^{2} + 49} + \frac{7}{\log{\left(5 \right)}^{2} + 49}$$
=
=
7 35*cos(7) 5*log(5)*sin(7)
------------ - ------------ + ---------------
2 2 2
49 + log (5) 49 + log (5) 49 + log (5)
$$- \frac{35 \cos{\left(7 \right)}}{\log{\left(5 \right)}^{2} + 49} + \frac{5 \log{\left(5 \right)} \sin{\left(7 \right)}}{\log{\left(5 \right)}^{2} + 49} + \frac{7}{\log{\left(5 \right)}^{2} + 49}$$
7/(49 + log(5)^2) - 35*cos(7)/(49 + log(5)^2) + 5*log(5)*sin(7)/(49 + log(5)^2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.