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