"Check Stokes' theorem in the plane where $f(x, y) = y^2\mathbf{i} + x^2\mathbf{j}$ and the region formed is bounded by the circle ($x^2+y^2=4$)."

Question

Resolution

"The question is a problem from Leithold's calculus book. I didn't understand the ($x = 5 \cos(t)$). Shouldn't it be ($x = 2 \cos(t)$)?

Resolution

The theorem in the book is this. From what I understand, you calculate both sides of the equality in the theorem and obtain the same value.Rot is curl. Theorem Theorem

edit: It seems like whoever solved this exercise took a circle from the previous exercise and calculated it for this one, leaving it incorrect. I tried to solve it my way, but I'm struggling to obtain the unit tangent vector and to calculate the line integral. Can someone help me?

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