# What am I supposed to do?

Calculus Level 5

Find the value of

$\displaystyle I=\int_{C} x^{2}dy - y^{2}dx$

where $$C: \dfrac{x^{2}}{4} + \dfrac{y^{2}}{9} =1 , 2 \ge x \ge 0 , 3 \ge y \ge 0$$, oriented from $$(2,0)$$ to $$(0,3)$$.

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