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