Question 1001a

Definite Integrals: Areas and Volumes
Area Under Parametric Curves

Question

The curve C{C} has parametric equations
x=t22t4,y=14t3+t+3\begin{align*} x&=t^2 - 2 t - 4, \\ y&=\frac{1}{4} t^3 + t + 3 \end{align*}
for t1.{t \geq 1.}

Find the area bounded by C,{C,} the x-axis{x\textrm{-axis}} and the lines x=5{x=- 5} and x=4.{x=- 4.} Leave your answers correct to 2 decimal places.

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Area =

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