Integral of $$$\sin{\left(\theta \right)}$$$

Find $$$\int \sin{\left(\theta \right)}\, d\theta$$$.

The integral of the sine is $$$\int{\sin{\left(\theta \right)} d \theta} = - \cos{\left(\theta \right)}$$$:

$${\color{red}{\int{\sin{\left(\theta \right)} d \theta}}} = {\color{red}{\left(- \cos{\left(\theta \right)}\right)}}$$

Therefore,

$$\int{\sin{\left(\theta \right)} d \theta} = - \cos{\left(\theta \right)}$$

Add the constant of integration:

$$\int{\sin{\left(\theta \right)} d \theta} = - \cos{\left(\theta \right)}+C$$

$$$\int \sin{\left(\theta \right)}\, d\theta = - \cos{\left(\theta \right)} + C$$$A