Let I = ₁ √2 + x² dx. Using the comparison properties of the integral, we conclude that (a) 2√√2 ≤ 1 ≤2√√3 (b) 2+ √2 ≤ 1 ≤2+√3 (c) √2 <1 ≤ √3 (d) 3 ≤ 1 ≤ √3 (e) 2√3 ≤1≤3

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.2: Diagonalization
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MATH 1
Let I = ₁ √√2 + x² dx. Using the comparison properties
of the integral, we conclude that
(a) 2√2 ≤1 ≤ 2√3
(b) 2+ √2 ≤ 1 ≤ 2+√3
(c) √2 <1 ≤ √3
(d) 3 ≤ 1 ≤ √3
(e) 2√3 ≤ 1 ≤ 3
Transcribed Image Text:MATH 1 Let I = ₁ √√2 + x² dx. Using the comparison properties of the integral, we conclude that (a) 2√2 ≤1 ≤ 2√3 (b) 2+ √2 ≤ 1 ≤ 2+√3 (c) √2 <1 ≤ √3 (d) 3 ≤ 1 ≤ √3 (e) 2√3 ≤ 1 ≤ 3
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