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I need help with this question please.

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May 16, 2019

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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

$$\displaystyle \int_0^3 2t^5+t^2 ~dt$$

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May 16, 2019