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