Sr Examen
Integral de cos(2x)^2sin(6x) dx
Solución
Ha introducido
[src]
1 / | | 2 | cos (2*x)*sin(6*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(6 x \right)} \cos^{2}{\left(2 x \right)}\, dx$$
Integral(cos(2*x)^2*sin(6*x), (x, 0, 1))
Gráfica
Respuesta
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2 2 7 7*cos (2)*cos(6) sin (2)*cos(6) cos(2)*sin(2)*sin(6) -- - ---------------- + -------------- - -------------------- 30 30 15 5
$$- \frac{7 \cos^{2}{\left(2 \right)} \cos{\left(6 \right)}}{30} - \frac{\sin{\left(2 \right)} \sin{\left(6 \right)} \cos{\left(2 \right)}}{5} + \frac{\sin^{2}{\left(2 \right)} \cos{\left(6 \right)}}{15} + \frac{7}{30}$$
=
=
2 2 7 7*cos (2)*cos(6) sin (2)*cos(6) cos(2)*sin(2)*sin(6) -- - ---------------- + -------------- - -------------------- 30 30 15 5
$$- \frac{7 \cos^{2}{\left(2 \right)} \cos{\left(6 \right)}}{30} - \frac{\sin{\left(2 \right)} \sin{\left(6 \right)} \cos{\left(2 \right)}}{5} + \frac{\sin^{2}{\left(2 \right)} \cos{\left(6 \right)}}{15} + \frac{7}{30}$$
7/30 - 7*cos(2)^2*cos(6)/30 + sin(2)^2*cos(6)/15 - cos(2)*sin(2)*sin(6)/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.