By using a substitution, prove that for all positive

Chapter 5, Problem 116E

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By using a substitution, prove that for all positive numbers x and y, The Shift Property for Definite Integrals A basic property of definite integrals is their invariance under translation, as expressed by the equation The equation holds whenever ƒ is integrable and defined for the necessary values of x. For example in the accompanying figure, show that because the areas of the shaded regions are congruent.

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