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

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

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Your Input

Find $$$\int \sin{\left(u \right)}\, du$$$.

Solution

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

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

Therefore,

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

Add the constant of integration:

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

Answer

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


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