Sr Examen
Integral de 1/(XSQRT(1-(lnx)^2)) dx
Solución
Ha introducido
[src]
E / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 1 - log (x) | / 1
$$\int\limits_{1}^{e} \frac{1}{x \sqrt{1 - \log{\left(x \right)}^{2}}}\, dx$$
Integral(1/(x*sqrt(1 - log(x)^2)), (x, 1, E))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ------------------ dx = C + | --------------------------------- dx | _____________ | _____________________________ | / 2 | x*\/ -(1 + log(x))*(-1 + log(x)) | x*\/ 1 - log (x) | | / /
$$\int \frac{1}{x \sqrt{1 - \log{\left(x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)}}\, dx$$
Respuesta
[src]
E / | | 1 | --------------------------------- dx | _____________________________ | x*\/ -(1 + log(x))*(-1 + log(x)) | / 1
$$\int\limits_{1}^{e} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)}}\, dx$$
=
=
E / | | 1 | --------------------------------- dx | _____________________________ | x*\/ -(1 + log(x))*(-1 + log(x)) | / 1
$$\int\limits_{1}^{e} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)}}\, dx$$
Integral(1/(x*sqrt(-(1 + log(x))*(-1 + log(x)))), (x, 1, E))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.