Sr Examen
Integral de 7sin^3x*21cos^2x*(-sinx) dx
Solución
Ha introducido
[src]
2*pi / | | 3 2 | 7*sin (x)*21*cos (x)*(-sin(x)) dx | / 0
$$\int\limits_{0}^{2 \pi} 21 \cdot 7 \sin^{3}{\left(x \right)} \cos^{2}{\left(x \right)} \left(- \sin{\left(x \right)}\right)\, dx$$
Integral((((7*sin(x)^3)*21)*cos(x)^2)*(-sin(x)), (x, 0, 2*pi))
Respuesta (Indefinida)
[src]
/ | 6 6 5 3 3 5 2 4 4 2 | 3 2 147*x*cos (x) 147*x*sin (x) 147*sin (x)*cos(x) 49*cos (x)*sin (x) 147*cos (x)*sin(x) 441*x*cos (x)*sin (x) 441*x*cos (x)*sin (x) | 7*sin (x)*21*cos (x)*(-sin(x)) dx = C - ------------- - ------------- - ------------------ + ------------------ + ------------------ - --------------------- - --------------------- | 16 16 16 2 16 16 16 /
$$\int 21 \cdot 7 \sin^{3}{\left(x \right)} \cos^{2}{\left(x \right)} \left(- \sin{\left(x \right)}\right)\, dx = C - \frac{147 x \sin^{6}{\left(x \right)}}{16} - \frac{441 x \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)}}{16} - \frac{441 x \sin^{2}{\left(x \right)} \cos^{4}{\left(x \right)}}{16} - \frac{147 x \cos^{6}{\left(x \right)}}{16} - \frac{147 \sin^{5}{\left(x \right)} \cos{\left(x \right)}}{16} + \frac{49 \sin^{3}{\left(x \right)} \cos^{3}{\left(x \right)}}{2} + \frac{147 \sin{\left(x \right)} \cos^{5}{\left(x \right)}}{16}$$
Gráfica
Respuesta
[src]
-147*pi ------- 8
$$- \frac{147 \pi}{8}$$
=
=
-147*pi ------- 8
$$- \frac{147 \pi}{8}$$
-147*pi/8
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.