Question 1001a

Definite Integrals: Areas and Volumes
Area Under Parametric Curves

Question

The curve C{C} has parametric equations
x=t2+4t3,y=19t3+t+7\begin{align*} x&=t^2 + 4 t - 3, \\ y&=\frac{1}{9} t^3 + t + 7 \end{align*}
for t2.{t \leq -2.}

Find the area bounded by C,{C,} the x-axis{x\textrm{-axis}} and the lines x=7{x=- 7} and x=6.{x=- 6.} Leave your answers correct to 2 decimal places.

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