Sr Examen
Integral de ((x-1)sin(3x))/(x^2+6x+5) dx
Solución
Ha introducido
[src]
oo / | | (x - 1)*sin(3*x) | ---------------- dx | 2 | x + 6*x + 5 | / 0
$$\int\limits_{0}^{\infty} \frac{\left(x - 1\right) \sin{\left(3 x \right)}}{\left(x^{2} + 6 x\right) + 5}\, dx$$
Integral(((x - 1)*sin(3*x))/(x^2 + 6*x + 5), (x, 0, oo))
Respuesta (Indefinida)
[src]
/ / / | | | | (x - 1)*sin(3*x) | sin(3*x) | x*sin(3*x) | ---------------- dx = C - | --------------- dx + | --------------- dx | 2 | (1 + x)*(5 + x) | (1 + x)*(5 + x) | x + 6*x + 5 | | | / / /
$$\int \frac{\left(x - 1\right) \sin{\left(3 x \right)}}{\left(x^{2} + 6 x\right) + 5}\, dx = C - \int \frac{\sin{\left(3 x \right)}}{\left(x + 1\right) \left(x + 5\right)}\, dx + \int \frac{x \sin{\left(3 x \right)}}{\left(x + 1\right) \left(x + 5\right)}\, dx$$
Respuesta
[src]
oo / | | (-1 + x)*sin(3*x) | ----------------- dx | (1 + x)*(5 + x) | / 0
$$\int\limits_{0}^{\infty} \frac{\left(x - 1\right) \sin{\left(3 x \right)}}{\left(x + 1\right) \left(x + 5\right)}\, dx$$
=
=
oo / | | (-1 + x)*sin(3*x) | ----------------- dx | (1 + x)*(5 + x) | / 0
$$\int\limits_{0}^{\infty} \frac{\left(x - 1\right) \sin{\left(3 x \right)}}{\left(x + 1\right) \left(x + 5\right)}\, dx$$
Integral((-1 + x)*sin(3*x)/((1 + x)*(5 + x)), (x, 0, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.