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

The calculator will find the integral/antiderivative of $$$\sin{\left(x \right)}$$$, with steps shown.

Find $$$\int \sin{\left(x \right)}\, dx$$$.

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

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

Therefore,

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

Add the constant of integration:

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

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