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

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

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Your Input

Find $$$\int \cos{\left(v \right)}\, dv$$$.

Solution

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

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

Therefore,

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

Add the constant of integration:

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

Answer

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


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