Using Green’s TheoremDefinite integral as a line integral

Chapter 16, Problem 34E

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Problem 34E

Using Green’s Theorem

Definite integral as a line integral Suppose that a nonnegative function y = ƒ(x) has a continuous first derivative on [a, b]. Let C be the boundary of the region in the xy-plane that is bounded below by the x-axis, above by the graph of ƒ, and on the sides by the lines and Show that

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