Sr Examen
Integral de sin(x)/(cos^2(x)+cos(x)-6) dx
Solución
Ha introducido
[src]
1 / | | sin(x) | -------------------- dx | 2 | cos (x) + cos(x) - 6 | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + \cos{\left(x \right)}\right) - 6}\, dx$$
Integral(sin(x)/(cos(x)^2 + cos(x) - 6), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | sin(x) log(-2 + cos(x)) log(3 + cos(x)) | -------------------- dx = C - ---------------- + --------------- | 2 5 5 | cos (x) + cos(x) - 6 | /
$$\int \frac{\sin{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + \cos{\left(x \right)}\right) - 6}\, dx = C - \frac{\log{\left(\cos{\left(x \right)} - 2 \right)}}{5} + \frac{\log{\left(\cos{\left(x \right)} + 3 \right)}}{5}$$
Gráfica
Respuesta
[src]
log(4) log(2 - cos(1)) log(3 + cos(1))
- ------ - --------------- + ---------------
5 5 5
$$- \frac{\log{\left(4 \right)}}{5} - \frac{\log{\left(2 - \cos{\left(1 \right)} \right)}}{5} + \frac{\log{\left(\cos{\left(1 \right)} + 3 \right)}}{5}$$
=
=
log(4) log(2 - cos(1)) log(3 + cos(1))
- ------ - --------------- + ---------------
5 5 5
$$- \frac{\log{\left(4 \right)}}{5} - \frac{\log{\left(2 - \cos{\left(1 \right)} \right)}}{5} + \frac{\log{\left(\cos{\left(1 \right)} + 3 \right)}}{5}$$
-log(4)/5 - log(2 - cos(1))/5 + log(3 + cos(1))/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.