Question 1001a

Definite Integrals: Areas and Volumes
Area Under Parametric Curves

Question

The curve C{C} has parametric equations
x=t26t+5,y=19t3+t+2\begin{align*} x&=t^2 - 6 t + 5, \\ y&=\frac{1}{9} t^3 + t + 2 \end{align*}
for t3.{t \leq 3.}

Find the area bounded by C,{C,} the x-axis{x\textrm{-axis}} and the lines x=4{x=- 4} and x=0.{x=0.} Leave your answers correct to 2 decimal places.

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Area =

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