Integral of $$$\cos{\left(y \right)}$$$
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Your Input
Find $$$\int \cos{\left(y \right)}\, dy$$$.
Solution
The integral of the cosine is $$$\int{\cos{\left(y \right)} d y} = \sin{\left(y \right)}$$$:
$${\color{red}{\int{\cos{\left(y \right)} d y}}} = {\color{red}{\sin{\left(y \right)}}}$$
Therefore,
$$\int{\cos{\left(y \right)} d y} = \sin{\left(y \right)}$$
Add the constant of integration:
$$\int{\cos{\left(y \right)} d y} = \sin{\left(y \right)}+C$$
Answer
$$$\int \cos{\left(y \right)}\, dy = \sin{\left(y \right)} + C$$$A
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