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Found in: Page 338

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Without using absolute values, how many definite integrals would we need in order to calculate the area between the graphs of f(x) = sin x and g(x) = $\frac{1}{2}$ on $[- \frac{π}{2}, 2 π]$ ?

Write each expression in Exercises 41–43 in one sigma notation (with some extra terms added to or subtracted from the sum, as necessary).

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Describe an example that illustrates that $\int_{a}^{b} | f (x) | d x$ is not equal to $| \int_{a}^{b} f (x) d x |$ .

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