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by the r-axis, above by the graph of f, and on the sides by the lines r = a and x =b. We know that \int_{a}^{b} f(x) d x gives that area of the region enclosed by C. Give a parameterization for C,, C, C3, and C4, the smooth curves such that C = C, + C, + C3 + C4. Evaluate \oint_{C} y d x=\int_{C_{1}} y d x+\int_{C_{2}} y d x+\int_{C_{3}} y d x+\int_{C_{4}} y d x and verify that the result is equal to f (r)d(x). solution solution

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