Sr Examen
Integral de cos(8x)cos(16x)cos(56x) dx
Solución
Ha introducido
[src]
1 / | | cos(8*x)*cos(16*x)*cos(56*x) dx | / 0
$$\int\limits_{0}^{1} \cos{\left(8 x \right)} \cos{\left(16 x \right)} \cos{\left(56 x \right)}\, dx$$
Integral((cos(8*x)*cos(16*x))*cos(56*x), (x, 0, 1))
Gráfica
Respuesta
[src]
23*cos(8)*cos(56)*sin(16) 13*cos(16)*cos(56)*sin(8) 7*sin(8)*sin(16)*sin(56) 77*cos(8)*cos(16)*sin(56)
- ------------------------- - ------------------------- - ------------------------ + -------------------------
3840 3840 3840 3840
$$\frac{77 \sin{\left(56 \right)} \cos{\left(8 \right)} \cos{\left(16 \right)}}{3840} - \frac{7 \sin{\left(8 \right)} \sin{\left(16 \right)} \sin{\left(56 \right)}}{3840} - \frac{23 \sin{\left(16 \right)} \cos{\left(8 \right)} \cos{\left(56 \right)}}{3840} - \frac{13 \sin{\left(8 \right)} \cos{\left(16 \right)} \cos{\left(56 \right)}}{3840}$$
=
=
23*cos(8)*cos(56)*sin(16) 13*cos(16)*cos(56)*sin(8) 7*sin(8)*sin(16)*sin(56) 77*cos(8)*cos(16)*sin(56)
- ------------------------- - ------------------------- - ------------------------ + -------------------------
3840 3840 3840 3840
$$\frac{77 \sin{\left(56 \right)} \cos{\left(8 \right)} \cos{\left(16 \right)}}{3840} - \frac{7 \sin{\left(8 \right)} \sin{\left(16 \right)} \sin{\left(56 \right)}}{3840} - \frac{23 \sin{\left(16 \right)} \cos{\left(8 \right)} \cos{\left(56 \right)}}{3840} - \frac{13 \sin{\left(8 \right)} \cos{\left(16 \right)} \cos{\left(56 \right)}}{3840}$$
-23*cos(8)*cos(56)*sin(16)/3840 - 13*cos(16)*cos(56)*sin(8)/3840 - 7*sin(8)*sin(16)*sin(56)/3840 + 77*cos(8)*cos(16)*sin(56)/3840
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.