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