Sr Examen
Integral de arcsin(x)/(1-x^2)^(1/3) dx
Solución
Ha introducido
[src]
E / | | asin(x) | ----------- dx | ________ | 3 / 2 | \/ 1 - x | / 1
$$\int\limits_{1}^{e} \frac{\operatorname{asin}{\left(x \right)}}{\sqrt[3]{1 - x^{2}}}\, dx$$
Integral(asin(x)/(1 - x^2)^(1/3), (x, 1, E))
Respuesta (Indefinida)
[src]
/ / | | | asin(x) | asin(x) | ----------- dx = C + | --------------------- dx | ________ | 3 ___________________ | 3 / 2 | \/ -(1 + x)*(-1 + x) | \/ 1 - x | | / /
$$\int \frac{\operatorname{asin}{\left(x \right)}}{\sqrt[3]{1 - x^{2}}}\, dx = C + \int \frac{\operatorname{asin}{\left(x \right)}}{\sqrt[3]{- \left(x - 1\right) \left(x + 1\right)}}\, dx$$
Respuesta
[src]
E / | | asin(x) | ------------------- dx | 3 _______ 3 _______ | \/ 1 + x *\/ 1 - x | / 1
$$\int\limits_{1}^{e} \frac{\operatorname{asin}{\left(x \right)}}{\sqrt[3]{1 - x} \sqrt[3]{x + 1}}\, dx$$
=
=
E / | | asin(x) | ------------------- dx | 3 _______ 3 _______ | \/ 1 + x *\/ 1 - x | / 1
$$\int\limits_{1}^{e} \frac{\operatorname{asin}{\left(x \right)}}{\sqrt[3]{1 - x} \sqrt[3]{x + 1}}\, dx$$
Integral(asin(x)/((1 + x)^(1/3)*(1 - x)^(1/3)), (x, 1, E))
Respuesta numérica
[src]
(-0.0796012546317075 - 2.87600753640101j)
(-0.0796012546317075 - 2.87600753640101j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.