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