Sr Examen
Integral de 1/(x*(4-(lnx)^2)^1/2) dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 4 - log (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{4 - \log{\left(x \right)}^{2}}}\, dx$$
Integral(1/(x*sqrt(4 - log(x)^2)), (x, 0, 1))
Respuesta (Indefinida)
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/ / | | | 1 | 1 | ------------------ dx = C + | --------------------------------- dx | _____________ | _____________________________ | / 2 | x*\/ -(-2 + log(x))*(2 + log(x)) | x*\/ 4 - log (x) | | / /
$$\int \frac{1}{x \sqrt{4 - \log{\left(x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 2\right) \left(\log{\left(x \right)} + 2\right)}}\, dx$$
Respuesta
[src]
1 / | | 1 | --------------------------------- dx | _____________________________ | x*\/ -(-2 + log(x))*(2 + log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 2\right) \left(\log{\left(x \right)} + 2\right)}}\, dx$$
=
=
1 / | | 1 | --------------------------------- dx | _____________________________ | x*\/ -(-2 + log(x))*(2 + log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 2\right) \left(\log{\left(x \right)} + 2\right)}}\, dx$$
Integral(1/(x*sqrt(-(-2 + log(x))*(2 + log(x)))), (x, 0, 1))
Respuesta numérica
[src]
(1.42814408105293 - 3.91777613729486j)
(1.42814408105293 - 3.91777613729486j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.