Please help to solve this integration problems

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Please help to solve this integration problems

. The formula for finding the arc length of a curve, given in parametric equations,
is as follows
2
dr.
Arc Length = /
dy
+
dt
dt.
dt
Given the curve
r(t) = 2t2 y(t) = t - 2<t< 2
Find out what the arc length is for the function bounded by the interval [-2,2]|
(The curve length is not zero)
All sketches showing domain/region of integration need to be shown in 2d;
that is, 3d diagrams are optional.
Transcribed Image Text:. The formula for finding the arc length of a curve, given in parametric equations, is as follows 2 dr. Arc Length = / dy + dt dt. dt Given the curve r(t) = 2t2 y(t) = t - 2<t< 2 Find out what the arc length is for the function bounded by the interval [-2,2]| (The curve length is not zero) All sketches showing domain/region of integration need to be shown in 2d; that is, 3d diagrams are optional.
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