Sr Examen
Integral de sqrt(x^2+1)*|ln(x)|^2019/(x^4+|lnx|) dx
Solución
Ha introducido
[src]
oo / | | ________ | / 2 2019 | \/ x + 1 *|log(x)| | ------------------------ dx | 4 | x + |log(x)| | / 0
$$\int\limits_{0}^{\infty} \frac{\sqrt{x^{2} + 1} \left|{\log{\left(x \right)}}\right|^{2019}}{x^{4} + \left|{\log{\left(x \right)}}\right|}\, dx$$
Integral((sqrt(x^2 + 1)*Abs(log(x))^2019)/(x^4 + Abs(log(x))), (x, 0, oo))
Respuesta
[src]
oo / | | ________ | / 2 2019 | \/ 1 + x *|log(x)| | ------------------------ dx | 4 | x + |log(x)| | / 0
$$\int\limits_{0}^{\infty} \frac{\sqrt{x^{2} + 1} \left|{\log{\left(x \right)}}\right|^{2019}}{x^{4} + \left|{\log{\left(x \right)}}\right|}\, dx$$
=
=
oo / | | ________ | / 2 2019 | \/ 1 + x *|log(x)| | ------------------------ dx | 4 | x + |log(x)| | / 0
$$\int\limits_{0}^{\infty} \frac{\sqrt{x^{2} + 1} \left|{\log{\left(x \right)}}\right|^{2019}}{x^{4} + \left|{\log{\left(x \right)}}\right|}\, dx$$
Integral(sqrt(1 + x^2)*Abs(log(x))^2019/(x^4 + Abs(log(x))), (x, 0, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.