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

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

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

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

Therefore,

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

Add the constant of integration:

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

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