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7. Recall that if m ≤ f(a) ≤ M on [a,b], then m(b − a) ≤ f(x) da ≤ M(b − a). Use this fact to estimate the following integrals. Show all work. Your justification must include a derivative to find max/min values. (a) f(x)=√1+x² (b) f(x)=e-² (c) f(x)= sin(2) (x) drz f(x) dx = */2 f(x) dr

7. Recall that if m ≤ f(a) ≤ M on [a,b], then m(b − a) ≤ f(x) da ≤ M(b − a). Use this fact to estimate the following integrals. Show all work. Your justification must include a derivative to find max/min values. (a) f(x)=√1+x² (b) f(x)=e-² (c) f(x)= sin(2) (x) drz f(x) dx = */2 f(x) dr

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. Recall that if f m ≤ f(x) ≤ M on [a,b], then m(b − a) ≤ f(x) f(x) dx ≤ M(ba). Use this fact to estimate the following integrals. Show all work. Your justification must include a derivative to find max/min values. (a) f(x)=√1+z² (b) f(x) = e-x² (c) f(x) sin(x) [ f(x) dx = [ f(x) dx = T/2 for f f(x) dx =
Transcribed Image Text:7. Recall that if f m ≤ f(x) ≤ M on [a,b], then m(b − a) ≤ f(x) f(x) dx ≤ M(ba). Use this fact to estimate the following integrals. Show all work. Your justification must include a derivative to find max/min values. (a) f(x)=√1+z² (b) f(x) = e-x² (c) f(x) sin(x) [ f(x) dx = [ f(x) dx = T/2 for f f(x) dx =
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