Sr Examen
Integral de (sin((x))*cos(x))/(x*sin(x))^3 dx
Solución
Ha introducido
[src]
1 / | | sin(x)*cos(x) | ------------- dx | 3 | (x*sin(x)) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\left(x \sin{\left(x \right)}\right)^{3}}\, dx$$
Integral((sin(x)*cos(x))/(x*sin(x))^3, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | sin(x)*cos(x) | cos(x) | ------------- dx = C + | ---------- dx | 3 | 3 2 | (x*sin(x)) | x *sin (x) | | / /
$$\int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\left(x \sin{\left(x \right)}\right)^{3}}\, dx = C + \int \frac{\cos{\left(x \right)}}{x^{3} \sin^{2}{\left(x \right)}}\, dx$$
Respuesta
[src]
1 / | | cos(x) | ---------- dx | 3 2 | x *sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{x^{3} \sin^{2}{\left(x \right)}}\, dx$$
=
=
1 / | | cos(x) | ---------- dx | 3 2 | x *sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{x^{3} \sin^{2}{\left(x \right)}}\, dx$$
Integral(cos(x)/(x^3*sin(x)^2), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.