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## Homework Statement

Evaluate [tex]\int[/tex] F dr

if F(x,y) =(6x

^{2}+4y) i + (4x-2y) j and the curve C is a smooth curve from (1,1) to (2,3).

## Homework Equations

## The Attempt at a Solution

I took partial derivatives with respect of y for the first term and with respect of x for the second term.

4=4 => F is conservative, but from now I am confused how to solvet. I need at least the idea.

I can find the patential function and the plug in the points values (1,1) and (2,3) for y and x .

I am not sure if I can apply the Fundamental Thm of Line Integrals.

I will appreciate any ideas how to finish the problem. Thank you.