Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.2 The Definite Integral - Exercises - Page 246: 59

Answer

$\int_{0}^{7} f(x) d x.$

Work Step by Step

We have $$ \int_{0}^{3} f(x) d x+\int_{3}^{7} f(x) d x\\ =\int_{0}^{3} f(x) d x+\int_{3}^{0} f(x) d x+\int_{0}^{7} f(x) d x\\ =\int_{0}^{3} f(x) d x-\int_{0}^{3} f(x) d x+\int_{0}^{7} f(x) d x\\ =\int_{0}^{7} f(x) d x. $$
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