- #1

Vitani11

- 275

- 3

## Homework Statement

Evaluate the work done by the two-dimensional force F = ( x

^{2}, 2xy ) along each of the following three paths joining the origin to the point P = (1, 1) :

The first two are fine

The last path is: the path given parametrically as x = t

^{3}, y = t

^{2}with a parameter t

## Homework Equations

## The Attempt at a Solution

I think you just take x = t

^{3}, y = t

^{2}and you plug them into F = ( x

^{2}, 2xy ) and then you set up the integral to find work ∫F⋅ds in terms of t. ∫(t

^{6},2t

^{5})⋅(3t

^{2}, 2t)dt = ∫(3t

^{8}+4t

^{6})dt. Is this correct?