Sr Examen
Integral de 1/(x*sqrt(1-4ln(x)^2)) dx
Solución
Ha introducido
[src]
1 / | | 1 | -------------------- dx | _______________ | / 2 | x*\/ 1 - 4*log (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{1 - 4 \log{\left(x \right)}^{2}}}\, dx$$
Integral(1/(x*sqrt(1 - 4*log(x)^2)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | -------------------- dx = C + | ------------------------------------- dx | _______________ | _________________________________ | / 2 | x*\/ -(1 + 2*log(x))*(-1 + 2*log(x)) | x*\/ 1 - 4*log (x) | | / /
$$\int \frac{1}{x \sqrt{1 - 4 \log{\left(x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{- \left(2 \log{\left(x \right)} - 1\right) \left(2 \log{\left(x \right)} + 1\right)}}\, dx$$
Respuesta
[src]
1 / | | 1 | ------------------------------------- dx | _________________________________ | x*\/ -(1 + 2*log(x))*(-1 + 2*log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(2 \log{\left(x \right)} - 1\right) \left(2 \log{\left(x \right)} + 1\right)}}\, dx$$
=
=
1 / | | 1 | ------------------------------------- dx | _________________________________ | x*\/ -(1 + 2*log(x))*(-1 + 2*log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(2 \log{\left(x \right)} - 1\right) \left(2 \log{\left(x \right)} + 1\right)}}\, dx$$
Integral(1/(x*sqrt(-(1 + 2*log(x))*(-1 + 2*log(x)))), (x, 0, 1))
Respuesta numérica
[src]
(0.817188089183674 - 2.50540983536595j)
(0.817188089183674 - 2.50540983536595j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.