Solved: Answer 120 without referring back to the text. Fill in the blank or answer

Chapter 9, Problem 7

(choose chapter or problem)

Answer Problems 1–20 without referring back to the text. Fill in the blank or answer true/false. Where appropriate, assume continuity of P, Q, and their first partial derivatives.

The integral \(\int_{C}\left(x^{2}+y^{2}\right) d x+2 x y d y\), where C is given by \(y=x^{3}\) from (0, 0) to (1, 1), has the same value on the curve \(y=x^{6}\) from (0, 0) to (1, 1). _____

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