A basic property of definite integrals is their invariance under translation, as expressed by the equation The equation holds whenever 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 Use ...

The equation we want to verify is ab fx dx acbc fxc dx 1 where c is a constant To verify this equat ...

A basic property of definite integrals is their invariance under translation, as expressed by the equation The

Question:

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.

Use a substitution to verify Equation (1).

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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A basic property of definite integrals is their invariance under translation, as expressed by the equation The

Question:

·b [ - f(x) dx = a b-c a-c f(x + c) dx. (1)

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The equation we want to verify is ab fx dx acbc fxc dx 1 where c is a constant To verify this equat...View the full answer

Thomas Calculus Early Transcendentals

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