# Find work done by force along a path - is parameterization the only way?

$F = x^3y^4 \hat i + x^4y^3 \hat j$ from $(0,0)$ to $(1,1)$.

I am given different paths.

For example, "ﬁrst along x axis and then along the y axis" is one of the paths.

Is this problem solvable only using parameterization or is there another way to handle/integrate it?

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Is this a HW assignment? Or are you just curious about an alternative way of going about it? –  DJBunk Feb 22 '13 at 20:16