Sr Examen
Integral de (2sin)*(3x)*(sin)*7(x) dx
Solución
Ha introducido
[src]
1 / | | 2*sin(x)*3*x*sin(x)*7*x dx | / 0
$$\int\limits_{0}^{1} x 7 \cdot 3 x 2 \sin{\left(x \right)} \sin{\left(x \right)}\, dx$$
Integral(((((2*sin(x))*(3*x))*sin(x))*7)*x, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ 2 2 | 3 2 3 2 21*x*cos (x) 21*x*sin (x) 21*cos(x)*sin(x) 2 | 2*sin(x)*3*x*sin(x)*7*x dx = C + 7*x *cos (x) + 7*x *sin (x) - ------------ + ------------ + ---------------- - 21*x *cos(x)*sin(x) | 2 2 2 /
$$\int x 7 \cdot 3 x 2 \sin{\left(x \right)} \sin{\left(x \right)}\, dx = C + 7 x^{3} \sin^{2}{\left(x \right)} + 7 x^{3} \cos^{2}{\left(x \right)} - 21 x^{2} \sin{\left(x \right)} \cos{\left(x \right)} + \frac{21 x \sin^{2}{\left(x \right)}}{2} - \frac{21 x \cos^{2}{\left(x \right)}}{2} + \frac{21 \sin{\left(x \right)} \cos{\left(x \right)}}{2}$$
Gráfica
Respuesta
[src]
2 2
7*cos (1) 35*sin (1) 21*cos(1)*sin(1)
- --------- + ---------- - ----------------
2 2 2
$$- \frac{21 \sin{\left(1 \right)} \cos{\left(1 \right)}}{2} - \frac{7 \cos^{2}{\left(1 \right)}}{2} + \frac{35 \sin^{2}{\left(1 \right)}}{2}$$
=
=
2 2
7*cos (1) 35*sin (1) 21*cos(1)*sin(1)
- --------- + ---------- - ----------------
2 2 2
$$- \frac{21 \sin{\left(1 \right)} \cos{\left(1 \right)}}{2} - \frac{7 \cos^{2}{\left(1 \right)}}{2} + \frac{35 \sin^{2}{\left(1 \right)}}{2}$$
-7*cos(1)^2/2 + 35*sin(1)^2/2 - 21*cos(1)*sin(1)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.