Sr Examen
Integral de cos(x)×cos(2x)×cos(5x) dx
Solución
Ha introducido
[src]
1 / | | cos(x)*cos(2*x)*cos(5*x) dx | / 0
$$\int\limits_{0}^{1} \cos{\left(x \right)} \cos{\left(2 x \right)} \cos{\left(5 x \right)}\, dx$$
Integral((cos(x)*cos(2*x))*cos(5*x), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ 3 | sin (2*x) sin(2*x) sin(4*x) sin(8*x) | cos(x)*cos(2*x)*cos(5*x) dx = C - --------- + -------- + -------- + -------- | 6 4 16 32 /
$$\int \cos{\left(x \right)} \cos{\left(2 x \right)} \cos{\left(5 x \right)}\, dx = C - \frac{\sin^{3}{\left(2 x \right)}}{6} + \frac{\sin{\left(2 x \right)}}{4} + \frac{\sin{\left(4 x \right)}}{16} + \frac{\sin{\left(8 x \right)}}{32}$$
Gráfica
Respuesta
[src]
11*cos(1)*cos(5)*sin(2) 7*cos(2)*cos(5)*sin(1) 5*sin(1)*sin(2)*sin(5) 25*cos(1)*cos(2)*sin(5)
- ----------------------- - ---------------------- - ---------------------- + -----------------------
96 96 96 96
$$- \frac{11 \sin{\left(2 \right)} \cos{\left(1 \right)} \cos{\left(5 \right)}}{96} - \frac{7 \sin{\left(1 \right)} \cos{\left(2 \right)} \cos{\left(5 \right)}}{96} - \frac{5 \sin{\left(1 \right)} \sin{\left(2 \right)} \sin{\left(5 \right)}}{96} + \frac{25 \sin{\left(5 \right)} \cos{\left(1 \right)} \cos{\left(2 \right)}}{96}$$
=
=
11*cos(1)*cos(5)*sin(2) 7*cos(2)*cos(5)*sin(1) 5*sin(1)*sin(2)*sin(5) 25*cos(1)*cos(2)*sin(5)
- ----------------------- - ---------------------- - ---------------------- + -----------------------
96 96 96 96
$$- \frac{11 \sin{\left(2 \right)} \cos{\left(1 \right)} \cos{\left(5 \right)}}{96} - \frac{7 \sin{\left(1 \right)} \cos{\left(2 \right)} \cos{\left(5 \right)}}{96} - \frac{5 \sin{\left(1 \right)} \sin{\left(2 \right)} \sin{\left(5 \right)}}{96} + \frac{25 \sin{\left(5 \right)} \cos{\left(1 \right)} \cos{\left(2 \right)}}{96}$$
-11*cos(1)*cos(5)*sin(2)/96 - 7*cos(2)*cos(5)*sin(1)/96 - 5*sin(1)*sin(2)*sin(5)/96 + 25*cos(1)*cos(2)*sin(5)/96
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.