Sr Examen
Integral de sqrt(16sin(2x)^2+16cos(x)^2+16cos(2x)^2-32cos(x)cos(2x)) dx
Solución
Ha introducido
[src]
1 / | | _______________________________________________________________ | / 2 2 2 | \/ 16*sin (2*x) + 16*cos (x) + 16*cos (2*x) - 32*cos(x)*cos(2*x) dx | / 0
$$\int\limits_{0}^{1} \sqrt{\left(\left(16 \sin^{2}{\left(2 x \right)} + 16 \cos^{2}{\left(x \right)}\right) + 16 \cos^{2}{\left(2 x \right)}\right) - 32 \cos{\left(x \right)} \cos{\left(2 x \right)}}\, dx$$
Integral(sqrt(16*sin(2*x)^2 + 16*cos(x)^2 + 16*cos(2*x)^2 - 32*cos(x)*cos(2*x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | _______________________________________________________________ | _____________________________________________________ | / 2 2 2 | / 2 2 2 | \/ 16*sin (2*x) + 16*cos (x) + 16*cos (2*x) - 32*cos(x)*cos(2*x) dx = C + 4* | \/ cos (x) + cos (2*x) + sin (2*x) - 2*cos(x)*cos(2*x) dx | | / /
$$\int \sqrt{\left(\left(16 \sin^{2}{\left(2 x \right)} + 16 \cos^{2}{\left(x \right)}\right) + 16 \cos^{2}{\left(2 x \right)}\right) - 32 \cos{\left(x \right)} \cos{\left(2 x \right)}}\, dx = C + 4 \int \sqrt{\sin^{2}{\left(2 x \right)} + \cos^{2}{\left(x \right)} - 2 \cos{\left(x \right)} \cos{\left(2 x \right)} + \cos^{2}{\left(2 x \right)}}\, dx$$
Respuesta
[src]
1
/
|
| _____________________________________________________
| / 2 2 2
4* | \/ cos (x) + cos (2*x) + sin (2*x) - 2*cos(x)*cos(2*x) dx
|
/
0
$$4 \int\limits_{0}^{1} \sqrt{\sin^{2}{\left(2 x \right)} + \cos^{2}{\left(x \right)} - 2 \cos{\left(x \right)} \cos{\left(2 x \right)} + \cos^{2}{\left(2 x \right)}}\, dx$$
=
=
1
/
|
| _____________________________________________________
| / 2 2 2
4* | \/ cos (x) + cos (2*x) + sin (2*x) - 2*cos(x)*cos(2*x) dx
|
/
0
$$4 \int\limits_{0}^{1} \sqrt{\sin^{2}{\left(2 x \right)} + \cos^{2}{\left(x \right)} - 2 \cos{\left(x \right)} \cos{\left(2 x \right)} + \cos^{2}{\left(2 x \right)}}\, dx$$
4*Integral(sqrt(cos(x)^2 + cos(2*x)^2 + sin(2*x)^2 - 2*cos(x)*cos(2*x)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.