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Integral de $$$\frac{\sin{\left(x \right)}}{34}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu entrada
Halla $$$\int \frac{\sin{\left(x \right)}}{34}\, dx$$$.
Solución
Aplica la regla del factor constante $$$\int c f{\left(x \right)}\, dx = c \int f{\left(x \right)}\, dx$$$ con $$$c=\frac{1}{34}$$$ y $$$f{\left(x \right)} = \sin{\left(x \right)}$$$:
$${\color{red}{\int{\frac{\sin{\left(x \right)}}{34} d x}}} = {\color{red}{\left(\frac{\int{\sin{\left(x \right)} d x}}{34}\right)}}$$
La integral del seno es $$$\int{\sin{\left(x \right)} d x} = - \cos{\left(x \right)}$$$:
$$\frac{{\color{red}{\int{\sin{\left(x \right)} d x}}}}{34} = \frac{{\color{red}{\left(- \cos{\left(x \right)}\right)}}}{34}$$
Por lo tanto,
$$\int{\frac{\sin{\left(x \right)}}{34} d x} = - \frac{\cos{\left(x \right)}}{34}$$
Añade la constante de integración:
$$\int{\frac{\sin{\left(x \right)}}{34} d x} = - \frac{\cos{\left(x \right)}}{34}+C$$
Respuesta
$$$\int \frac{\sin{\left(x \right)}}{34}\, dx = - \frac{\cos{\left(x \right)}}{34} + C$$$A