# Area of parametric equations

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##### Intros

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##### Examples

###### Lessons

**Finding the Area Given the Range of the Parameter**

Find the area under the curve of the parametric curve $x=t^2+1$ $y=t^3+t^2+4$, where $1 \leq t \leq 3$.

Assume that the curve traces perfectly from left to right for the range of the parameter $t$.- Find the area enclosed of the given parametric curve $x=a \cos (\theta)$, $y= b \sin (\theta)$, where $0 \leq \theta \leq 2 \pi$ and $a, b$ are constants.
- Find the area under the curve of the parametric equations $x=t-\frac{1}{t}$, $y=t+\frac{1}{t}$, where $\frac{1}{2} \leq t \leq 2$.