Sr Examen
Integral de x^(-1)(1-ln(x)^2)^((-1)/2) dx
Solución
Ha introducido
[src]
-13 / | | -0.5 | / 2 \ | \1 - log (x)/ | ----------------- dx | x | / 2
$$\int\limits_{2}^{-13} \frac{1}{x \left(1 - \log{\left(x \right)}^{2}\right)^{0.5}}\, dx$$
Integral((1 - log(x)^2)^(-0.5)/x, (x, 2, -13))
Respuesta (Indefinida)
[src]
/ | / | -0.5 | | / 2 \ | -0.5 | \1 - log (x)/ | (-(1 + log(x))*(-1 + log(x))) | ----------------- dx = C + | --------------------------------- dx | x | x | | / /
$$\int \frac{1}{x \left(1 - \log{\left(x \right)}^{2}\right)^{0.5}}\, dx = C + \int \frac{1}{x \left(- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)\right)^{0.5}}\, dx$$
Respuesta
[src]
-13 / | | -0.5 | (-(1 + log(x))*(-1 + log(x))) | --------------------------------- dx | x | / 2
$$\int\limits_{2}^{-13} \frac{1}{x \left(- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)\right)^{0.5}}\, dx$$
=
=
-13 / | | -0.5 | (-(1 + log(x))*(-1 + log(x))) | --------------------------------- dx | x | / 2
$$\int\limits_{2}^{-13} \frac{1}{x \left(- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)\right)^{0.5}}\, dx$$
Integral((-(1 + log(x))*(-1 + log(x)))^(-0.5)/x, (x, 2, -13))
Respuesta numérica
[src]
(0.142996236642239 + 1.28434317479402j)
(0.142996236642239 + 1.28434317479402j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.