Evaluate the line integral va V dr for the following function and oriented curve C (a) using a parametric description of C and evaluating the integral directly, and (b) using the Fundamental Theorem for line integrals. p(x,y) = 3x+6y: C: r(t) = (2-t,t), for 0≤t≤2 (a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration. JO dt (Type exact answers.)
Evaluate the line integral va V dr for the following function and oriented curve C (a) using a parametric description of C and evaluating the integral directly, and (b) using the Fundamental Theorem for line integrals. p(x,y) = 3x+6y: C: r(t) = (2-t,t), for 0≤t≤2 (a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration. JO dt (Type exact answers.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Evaluate the line integral [vp. dr for the following function and oriented curve C (a) using a parametric description of C and evaluating the integral directly, and (b)
V p
C
using the Fundamental Theorem for line integrals.
p(x,y)=3x+6y;
C: r(t) = (2-t,t), for 0≤t≤2
(a) Set up the integral used to evaluate the line integral using a parametric description of C. Use increasing limits of integration.
Sdt
O dt (Type exact answers.)
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