Area of parametric equations

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Intros
Lessons
  1. Area of Parametric Functions Overview
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Examples
Lessons
  1. Finding the Area Given the Range of the Parameter
    Find the area under the curve of the parametric curve x=t2+1x=t^2+1
    y=t3+t2+4y=t^3+t^2+4, where 1t31 \leq t \leq 3.
    Assume that the curve traces perfectly from left to right for the range of the parameter tt.
    1. Find the area enclosed of the given parametric curve x=acos(θ)x=a \cos (\theta), y=bsin(θ)y= b \sin (\theta), where 0θ2π0 \leq \theta \leq 2 \pi and a,ba, b are constants.
      1. Find the area under the curve of the parametric equations x=t1tx=t-\frac{1}{t}, y=t+1ty=t+\frac{1}{t}, where 12t2 \frac{1}{2} \leq t \leq 2 .