Calculus/Parametric Integration

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Because most parametric equations are given in explicit form, they can be integrated like many other equations. Integration has a variety of applications with respect to parametric equations, especially in kinematics and vector calculus.

 x = \int{x'(t)}\, dt

 y = \int{y'(t)}\, dt

So, taking a simple example:

 y = \int{cos(t)}\, dt = sin(t)