Answer
$\dfrac{81}{20}$
Work Step by Step
$Area,A=\int_{t=-2}^{t=1}ydx$
and $dx=3t^2-3dt$
$A=3\int_{-2}^{1}(t^2+t+1)(t^2-1)dt$
$A=3[\frac{1}{5}t^5+\frac{1}{4}t^4-\frac{1}{2}t^2-t]_{-2}^{1}$
$A=\dfrac{81}{20}$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 710: 28
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
