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