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