(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the line integral ∫_{c}y^{2}dx + 2xy dy,

where C, is the path from (1, 2) to (2, 4) parametrised by

r(t) = (t^{2}+ 1)i + (2t^{2}+ 2)j , 0 ≤ t ≤ 1

2. Relevant equations

I worked out the velocity magnitude |v(t)| as 2t√5

3. The attempt at a solution

I simply integrated the velocity with respect to t from 0 to 1. and got 56, but then I don't see why I needed that first equation. Are we supposed to do dot product or something first?

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# Homework Help: Evaluate the line integral

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