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

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

Find $$$\int \sin{\left(t \right)}\, dt$$$.

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

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

Therefore,

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

Add the constant of integration:

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

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

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