Sr Examen
Integral de (sin(10x)+cos(2x)*sin(10x))/4 dx
Solución
Ha introducido
[src]
1 / | | sin(10*x) + cos(2*x)*sin(10*x) | ------------------------------ dx | 4 | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(10 x \right)} \cos{\left(2 x \right)} + \sin{\left(10 x \right)}}{4}\, dx$$
Integral((sin(10*x) + cos(2*x)*sin(10*x))/4, (x, 0, 1))
Gráfica
Respuesta
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49 cos(10) 5*cos(2)*cos(10) sin(2)*sin(10) --- - ------- - ---------------- - -------------- 960 40 192 192
$$- \frac{5 \cos{\left(2 \right)} \cos{\left(10 \right)}}{192} - \frac{\sin{\left(2 \right)} \sin{\left(10 \right)}}{192} - \frac{\cos{\left(10 \right)}}{40} + \frac{49}{960}$$
=
=
49 cos(10) 5*cos(2)*cos(10) sin(2)*sin(10) --- - ------- - ---------------- - -------------- 960 40 192 192
$$- \frac{5 \cos{\left(2 \right)} \cos{\left(10 \right)}}{192} - \frac{\sin{\left(2 \right)} \sin{\left(10 \right)}}{192} - \frac{\cos{\left(10 \right)}}{40} + \frac{49}{960}$$
49/960 - cos(10)/40 - 5*cos(2)*cos(10)/192 - sin(2)*sin(10)/192
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.