Sr Examen
Integral de cos(2*x)*sin^2(10*x) dx
Solución
Ha introducido
[src]
1 / | | 2 | cos(2*x)*sin (10*x) dx | / 0
$$\int\limits_{0}^{1} \sin^{2}{\left(10 x \right)} \cos{\left(2 x \right)}\, dx$$
Integral(cos(2*x)*sin(10*x)^2, (x, 0, 1))
Gráfica
Respuesta
[src]
2 2
25*cos (10)*sin(2) 49*sin (10)*sin(2) 5*cos(2)*cos(10)*sin(10)
------------------ + ------------------ - ------------------------
99 198 99
$$- \frac{5 \sin{\left(10 \right)} \cos{\left(2 \right)} \cos{\left(10 \right)}}{99} + \frac{49 \sin{\left(2 \right)} \sin^{2}{\left(10 \right)}}{198} + \frac{25 \sin{\left(2 \right)} \cos^{2}{\left(10 \right)}}{99}$$
=
=
2 2
25*cos (10)*sin(2) 49*sin (10)*sin(2) 5*cos(2)*cos(10)*sin(10)
------------------ + ------------------ - ------------------------
99 198 99
$$- \frac{5 \sin{\left(10 \right)} \cos{\left(2 \right)} \cos{\left(10 \right)}}{99} + \frac{49 \sin{\left(2 \right)} \sin^{2}{\left(10 \right)}}{198} + \frac{25 \sin{\left(2 \right)} \cos^{2}{\left(10 \right)}}{99}$$
25*cos(10)^2*sin(2)/99 + 49*sin(10)^2*sin(2)/198 - 5*cos(2)*cos(10)*sin(10)/99
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.