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