Sr Examen
Integral de cos(3x)^3*sin(6x) dx
Solución
Ha introducido
[src]
1 / | | 3 | cos (3*x)*sin(6*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(6 x \right)} \cos^{3}{\left(3 x \right)}\, dx$$
Integral(cos(3*x)^3*sin(6*x), (x, 0, 1))
Gráfica
Respuesta
[src]
3 3 2 2 2 2*cos (3)*cos(6) 2*sin (3)*sin(6) 4*sin (3)*cos(3)*cos(6) cos (3)*sin(3)*sin(6) -- - ---------------- - ---------------- - ----------------------- + --------------------- 15 15 15 15 15
$$\frac{\sin{\left(3 \right)} \sin{\left(6 \right)} \cos^{2}{\left(3 \right)}}{15} - \frac{2 \sin^{3}{\left(3 \right)} \sin{\left(6 \right)}}{15} - \frac{4 \sin^{2}{\left(3 \right)} \cos{\left(3 \right)} \cos{\left(6 \right)}}{15} - \frac{2 \cos^{3}{\left(3 \right)} \cos{\left(6 \right)}}{15} + \frac{2}{15}$$
=
=
3 3 2 2 2 2*cos (3)*cos(6) 2*sin (3)*sin(6) 4*sin (3)*cos(3)*cos(6) cos (3)*sin(3)*sin(6) -- - ---------------- - ---------------- - ----------------------- + --------------------- 15 15 15 15 15
$$\frac{\sin{\left(3 \right)} \sin{\left(6 \right)} \cos^{2}{\left(3 \right)}}{15} - \frac{2 \sin^{3}{\left(3 \right)} \sin{\left(6 \right)}}{15} - \frac{4 \sin^{2}{\left(3 \right)} \cos{\left(3 \right)} \cos{\left(6 \right)}}{15} - \frac{2 \cos^{3}{\left(3 \right)} \cos{\left(6 \right)}}{15} + \frac{2}{15}$$
2/15 - 2*cos(3)^3*cos(6)/15 - 2*sin(3)^3*sin(6)/15 - 4*sin(3)^2*cos(3)*cos(6)/15 + cos(3)^2*sin(3)*sin(6)/15
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.