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