Calculus/Parametric Integration

Introduction

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.

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

So, taking a simple example:

$y=\int \cos(t)dt=\sin(t)$

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