TEAM PROJECT. Comments on Real Integrals. (a) Formula nO)

Chapter 16, Problem 16.4

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TEAM PROJECT. Comments on Real Integrals. (a) Formula nO) follows from (9). Give the details. 2 (b) Use of auxiliary results. Integrating e-z around the boundary C of the rectangle with vertices -a, a, a + ib, -a + ib, letting a --> co, and using show that L "" 2 -v:,; _b2 e-X cos 2bx dx = -- e . o 2 (This integral is needed in heat conduction in Sec. 12.6.) (c) Inspection. Solve Probs. 15 and 21 without calculation

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