Sr Examen
Integral de (x+1)*sin(4x)/(x^2+2x+5) dx
Solución
Ha introducido
[src]
oo / | | (x + 1)*sin(4*x) | ---------------- dx | 2 | x + 2*x + 5 | / -oo
$$\int\limits_{-\infty}^{\infty} \frac{\left(x + 1\right) \sin{\left(4 x \right)}}{\left(x^{2} + 2 x\right) + 5}\, dx$$
Integral(((x + 1)*sin(4*x))/(x^2 + 2*x + 5), (x, -oo, oo))
Respuesta (Indefinida)
[src]
/ / / | | | | (x + 1)*sin(4*x) | sin(4*x) | x*sin(4*x) | ---------------- dx = C + | ------------ dx + | ------------ dx | 2 | 2 | 2 | x + 2*x + 5 | 5 + x + 2*x | 5 + x + 2*x | | | / / /
$$\int \frac{\left(x + 1\right) \sin{\left(4 x \right)}}{\left(x^{2} + 2 x\right) + 5}\, dx = C + \int \frac{\sin{\left(4 x \right)}}{x^{2} + 2 x + 5}\, dx + \int \frac{x \sin{\left(4 x \right)}}{x^{2} + 2 x + 5}\, dx$$
Gráfica
Respuesta
[src]
oo / | | (1 + x)*sin(4*x) | ---------------- dx | 2 | 5 + x + 2*x | / -oo
$$\int\limits_{-\infty}^{\infty} \frac{\left(x + 1\right) \sin{\left(4 x \right)}}{x^{2} + 2 x + 5}\, dx$$
=
=
oo / | | (1 + x)*sin(4*x) | ---------------- dx | 2 | 5 + x + 2*x | / -oo
$$\int\limits_{-\infty}^{\infty} \frac{\left(x + 1\right) \sin{\left(4 x \right)}}{x^{2} + 2 x + 5}\, dx$$
Integral((1 + x)*sin(4*x)/(5 + x^2 + 2*x), (x, -oo, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.