Let the given integral be y - y = ∫01drr0.999y = ∫01r-0.999dry = r-0.999+1-0.999+101…

Answered: dr „0.999 0.

Math

Calculus

dr „0.999 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 87RE

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Question

Expert Solution

Step 1

$L e t t h e g i v e n i n t e g r a l b e y - y = \int_{0}^{1} \frac{d r}{r^{0.999}} y = \int_{0}^{1} r^{- 0.999} d r y = {[\frac{r^{(- 0.999 + 1)}}{(- 0.999 + 1)}]}_{0}^{1} [\int x^{n} d x = \frac{x^{(n + 1)}}{(n + 1)} + C] y = {[\frac{r^{0.001}}{0.001}]}_{0}^{1} y = \frac{1}{0.001} {[r^{0.001}]}_{0}^{1} . . . . . . . . . . . . . . . . . . . . . . (1)$