integral de 0 a pi de 18cos(6x)+6yz^2

Solución

\int_{0}^{π} 18 cos (6 x) + 6 y z^{2} d x

6 π y z^{2}

Pasos de solución

\int_{0}^{π} 18 cos (6 x) + 6 y z^{2} d x

Aplicar la regla de la suma:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} 18 cos (6 x) d x + \int_{0}^{π} 6 y z^{2} d x

\int_{0}^{π} 18 cos (6 x) d x = 0

\int_{0}^{π} 6 y z^{2} d x = 6 π y z^{2}

= 0 + 6 π y z^{2}

Simplificar

= 6 π y z^{2}