Help With Calculus Question: Finding Value of F(r(t))

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SUMMARY

The discussion revolves around a calculus problem from the Stewart Calculus textbook, specifically regarding the evaluation of the integral for the vector function F(r(t)). The user initially calculated the integral from 0 to 2π for the vector <2cos²t, 2sin²t, cos(t)sin(t)>, resulting in a complex expression. Ultimately, the user confirmed that their problem was resolved, indicating that they found the correct value of F(r(t)).

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Kris1
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Hi,

My question in my Stewart Calculus book is the same as
http://faculty.tru.ca/smcguinness/M317W11/M317W11quiz4sol.pdf

However when I work out the solution I seem to get a different value. My solution is

integral from 0 to 2pi 16 <2cos^2t,2sin^2t,cos(t)sin(t)>
64 integral from 0 to 2pi -cos^2t*sin(t)+sin^2t+cos(t)

I'm not sure however as to whether I am on the right track. Can someone show me what the value of F(r(t)) is and if my solution is on the right track?

Sorry about the formatting.
 
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