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