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Homework Statement
F = [−y^3, x^3], C the circle x^2 + y^2 = 25
Book gives answer as Pi*1875*1/2, I get Pi*1875
The Attempt at a Solution
[tex]\int\int(3x^2 + 3y^2)dxdy[/tex]
[tex]\int\int(75(cos^2\vartheta + sin^2\vartheta))rdrd\vartheta[/tex]
[tex]75\int[1/2 r^2]^{5}_{0}d\vartheta[/tex]
[tex]\frac{1875}{2}\intd\vartheta[/tex]
[tex][\frac{1875}{2}\vartheta]^{2\pi}_{0}[/tex]
[tex]=1875\pi[/tex] Where did I go wrong?