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