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I can’t do this question, could you please help me. Thank you. 

 May 16, 2019
 #1
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\(\text{For this problem I would choose }\\ x=f(t) = t^2,~y=g(t) = t\\ \text{Then }\textbf{dx}=(2t,1)dt\\ \textbf{F(x)$\cdot$ dx}= (t^4,t^2)\cdot (2t,1)dt =2 t^5+t^2~dt\)

 

I leave you to complete the final integral 

 

\(\displaystyle \int_0^3 2t^5+t^2 ~dt\)

.
 May 16, 2019

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