Question 1001a

Definite Integrals: Areas and Volumes

Area Under Parametric Curves

Question

The curve

{C}

has parametric equations

\begin{align*} x&=t^2 - 4 t + 1, \\ y&=t^3 + t + 3 \end{align*}

for

{t \leq 2.}

Find the area bounded by ${C,}$ the ${x\textrm{-axis}}$ and the lines ${x=1}$ and ${x=6.}$ Leave your answers correct to 2 decimal places.

Area =