Sr Examen
Integral de 1/(x(sqrt(9-lnx^2))) dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 9 - log (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{9 - \log{\left(x \right)}^{2}}}\, dx$$
Integral(1/(x*sqrt(9 - log(x)^2)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ------------------ dx = C + | --------------------------------- dx | _____________ | _____________________________ | / 2 | x*\/ -(-3 + log(x))*(3 + log(x)) | x*\/ 9 - log (x) | | / /
$$\int \frac{1}{x \sqrt{9 - \log{\left(x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 3\right) \left(\log{\left(x \right)} + 3\right)}}\, dx$$
Respuesta
[src]
1 / | | 1 | --------------------------------- dx | _____________________________ | x*\/ -(-3 + log(x))*(3 + log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 3\right) \left(\log{\left(x \right)} + 3\right)}}\, dx$$
=
=
1 / | | 1 | --------------------------------- dx | _____________________________ | x*\/ -(-3 + log(x))*(3 + log(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 3\right) \left(\log{\left(x \right)} + 3\right)}}\, dx$$
Integral(1/(x*sqrt(-(-3 + log(x))*(3 + log(x)))), (x, 0, 1))
Respuesta numérica
[src]
(1.4879256437406 - 3.34157919628073j)
(1.4879256437406 - 3.34157919628073j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.