Line integral bounded by vertices of a square

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Let C be the square with four corners $$(1,1), (-1,1), (-1,-1), (1,-1)$$ oriented counter clockwise.How would I calculate $$\int_{C}x^3\vec{i}+(x^2y)\vec{j}ds$$

I have attached an image of my steps if anyone is interested. I'm not sure if they are correct.mysolution