Evaluate the integral in terms of the constants. (a) Apply the Comparison Theorem (Theorem 5 in Section

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Evaluate the integral in terms of the constants.

(a) Apply the Comparison Theorem (Theorem 5 in Section 5.2) to the inequality sin x ≤ x (valid for x ≥ 0) to prove that

1. cos x  1 2

(b) Apply it again to prove that

x. x 6  sin x  x (for x > 0) VI

(c) Verify these inequalities for x = 0.3.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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