# Calculus/Parametric Integration

## IntroductionEdit

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.

{\displaystyle {\begin{aligned}x&=\int x'(t)dt\\y&=\int y'(t)dt\end{aligned}}}

So, taking a simple example:

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