Primitive of Sine Function

Theorem

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

where $C$ is an arbitrary constant.

Proof
From Derivative of Cosine Function:
 * $\dfrac{\mathrm d}{\mathrm d x} \left({-\cos \left({x}\right)}\right) = \sin \left({x}\right)$

The result follows from the definition of primitive.