# Dedicated to Brilliant.org Staff

Calculus Level 5

Evaluate : $\oint_{C}y^{2}dx +x^{2} \, dy$

where $$C$$ is the closed curve which is the boundary of the triangle with vertices $$(0; 0)$$, $$(1; 1)$$ and $$(1; 0)$$, with the counterclockwise orientation.