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