If s > 0, let g(x) := e-sx for x [0, ]. (a) Use Hake's Theorem
Question:
(a) Use Hake's Theorem to show that g ∈ L[0, ∞] and ∫10 e-sxdx = 1/s.
(b) Use the Fundamental Theorem 10.3.5.
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a We have 0 e sx dx 1s1 e s 1s b ...View the full answer
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Related Book For 
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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