Suppose that a nonnegative function y = (x) has a continuous first derivative on [a, b]. Let

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 x = a and x = b. Show that

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So a f(x) dx -fydr. C с