# Find the area of the region enclosed by the parametric equation

1 Hint: To find an area, you integrate ∫ y d x or (in this case) ∫ x d y. Intuitively, you are adding up the area of rectangles. Here x is the height above the y axis and d y is a small

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## 10.2: Calculus with Parametric Curves

I have a question about the area enclosed between the following parametric equations: x = t 3 − 8 t y = 6 t 2 I know the area is the integral of the y ( t) times the derivative of x ( t). What I don't

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Figure out math equations

Math is a challenging subject for many students, but with practice and persistence, anyone can learn to figure out complex equations.

Determine mathematic questions

In order to determine what the math problem is, you will need to look at the given information and find the key details. Once you have found the key details, you will be able to work out what the problem is and how to solve it.

Find the area of the region enclosed by the parametric equation

Let’s work an example. Example 1 Determine the area under the parametric curve given by the following parametric equations. x = 6(θ−sinθ) y =6(1 −cosθ) 0 ≤ θ ≤ 2π x = 6 ( θ −