Primitive of Sine Function

Theorem

 * $\displaystyle \int \sin x \ \mathrm d x = - \cos x + C$

where $C$ is an arbitrary constant.

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

The result follows from the definition of primitive.