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## Homework Statement

Evaluate the [tex]\int[/tex] xyi - xj dot dr over the curve y = 1 - x

^{2}from 1,0 to 0,1

## Homework Equations

## The Attempt at a Solution

I used greens theorem

[tex]\int[/tex] -1 - x dy dx

dy is from 0 to 1-x

^{2}

dx is from 0 to 1

[tex]\int[/tex]-x

^{3}+ x

^{2}- x - 1 dx = -1.4166666666666666666

is this correct