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

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

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

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

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

Therefore,

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

Add the constant of integration:

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

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

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