Sr Examen
Integral de 1/(x*(1-ln(2*x)^2)^(1/2)) dx
Solución
Ha introducido
[src]
1 / | | 1 | -------------------- dx | _______________ | / 2 | x*\/ 1 - log (2*x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{1 - \log{\left(2 x \right)}^{2}}}\, dx$$
Integral(1/(x*sqrt(1 - log(2*x)^2)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | -------------------- dx = C + | --------------------------------------------------- dx | _______________ | _______________________________________________ | / 2 | x*\/ -(1 + log(2) + log(x))*(-1 + log(2) + log(x)) | x*\/ 1 - log (2*x) | | / /
$$\int \frac{1}{x \sqrt{1 - \log{\left(2 x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1 + \log{\left(2 \right)}\right) \left(\log{\left(x \right)} + \log{\left(2 \right)} + 1\right)}}\, dx$$
Respuesta
[src]
1 / | | 1 | --------------------------------------------------- dx | _______________________________________________ | x*\/ -(1 + log(2) + log(x))*(-1 + log(2) + log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1 + \log{\left(2 \right)}\right) \left(\log{\left(x \right)} + \log{\left(2 \right)} + 1\right)}}\, dx$$
=
=
1 / | | 1 | --------------------------------------------------- dx | _______________________________________________ | x*\/ -(1 + log(2) + log(x))*(-1 + log(2) + log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1 + \log{\left(2 \right)}\right) \left(\log{\left(x \right)} + \log{\left(2 \right)} + 1\right)}}\, dx$$
Integral(1/(x*sqrt(-(1 + log(2) + log(x))*(-1 + log(2) + log(x)))), (x, 0, 1))
Respuesta numérica
[src]
(2.3289726996883 - 4.31707519239197j)
(2.3289726996883 - 4.31707519239197j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.