Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Questions to Guide Your Review - Page 306: 1

Answer

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Work Step by Step

STEP 1 We utilize limited totals when we need to estimated the region, distance voyaged or normal worth of some confounded capability, when it's not critical that the outcome is exact, that is to say, when we simply need a harsh guess of these qualities. It's simpler to compute the amount of area of square shapes that we separated our region under a bend which we need to estimated, then, at that point, seeing as the antiderivative of that bend. STEP 2 We can likewise utilize the limited aggregates when we need to assess the distance voyaged however we just have the speed of the article at specific moments. We can likewise assess the typical worth of capability over span [a,b] by assessing the region under the bend and separating it by b−a. CONCLUSION We utilize limited aggregates to assess a few qualities when we needn't bother with their careful measure, or when an antiderivative is too difficult to even consider finding.
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