Integral de $$$\frac{\cos{\left(\theta \right)}}{1312}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu entrada
Halla $$$\int \frac{\cos{\left(\theta \right)}}{1312}\, d\theta$$$.
Solución
Aplica la regla del factor constante $$$\int c f{\left(\theta \right)}\, d\theta = c \int f{\left(\theta \right)}\, d\theta$$$ con $$$c=\frac{1}{1312}$$$ y $$$f{\left(\theta \right)} = \cos{\left(\theta \right)}$$$:
$${\color{red}{\int{\frac{\cos{\left(\theta \right)}}{1312} d \theta}}} = {\color{red}{\left(\frac{\int{\cos{\left(\theta \right)} d \theta}}{1312}\right)}}$$
La integral del coseno es $$$\int{\cos{\left(\theta \right)} d \theta} = \sin{\left(\theta \right)}$$$:
$$\frac{{\color{red}{\int{\cos{\left(\theta \right)} d \theta}}}}{1312} = \frac{{\color{red}{\sin{\left(\theta \right)}}}}{1312}$$
Por lo tanto,
$$\int{\frac{\cos{\left(\theta \right)}}{1312} d \theta} = \frac{\sin{\left(\theta \right)}}{1312}$$
Añade la constante de integración:
$$\int{\frac{\cos{\left(\theta \right)}}{1312} d \theta} = \frac{\sin{\left(\theta \right)}}{1312}+C$$
Respuesta
$$$\int \frac{\cos{\left(\theta \right)}}{1312}\, d\theta = \frac{\sin{\left(\theta \right)}}{1312} + C$$$A