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

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

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Find $$$\int \cos{\left(x \right)}\, dx$$$.

Solution

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

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

Therefore,

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

Add the constant of integration:

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

Answer: $$$\int{\cos{\left(x \right)} d x}=\sin{\left(x \right)}+C$$$