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