Sr Examen
Integral de (sqrt(1-x^2))/arcsin(3x-3) dx
Solución
Ha introducido
[src]
1 / | | ________ | / 2 | \/ 1 - x | ------------- dx | asin(3*x - 3) | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{1 - x^{2}}}{\operatorname{asin}{\left(3 x - 3 \right)}}\, dx$$
Integral(sqrt(1 - x^2)/asin(3*x - 3), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | / | ________ | | / 2 | ___________________ | \/ 1 - x | \/ -(1 + x)*(-1 + x) | ------------- dx = C + | --------------------- dx | asin(3*x - 3) | asin(3*x - 3) | | / /
$$\int \frac{\sqrt{1 - x^{2}}}{\operatorname{asin}{\left(3 x - 3 \right)}}\, dx = C + \int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}{\operatorname{asin}{\left(3 x - 3 \right)}}\, dx$$
Respuesta
[src]
1 / | | _______ _______ | \/ 1 + x *\/ 1 - x | ------------------- dx | asin(-3 + 3*x) | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{1 - x} \sqrt{x + 1}}{\operatorname{asin}{\left(3 x - 3 \right)}}\, dx$$
=
=
1 / | | _______ _______ | \/ 1 + x *\/ 1 - x | ------------------- dx | asin(-3 + 3*x) | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{1 - x} \sqrt{x + 1}}{\operatorname{asin}{\left(3 x - 3 \right)}}\, dx$$
Integral(sqrt(1 + x)*sqrt(1 - x)/asin(-3 + 3*x), (x, 0, 1))
Respuesta numérica
[src]
(-0.746684719423846 - 0.17891119031315j)
(-0.746684719423846 - 0.17891119031315j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.