1. Let f(x) = sin²(x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin² (x) cos³ (x) ㅠ (a) Plot all three functions on the same graph for 0 ≤ x ≤ Based on the graph, which of 2 [²1(2) dx, [³ g [²*9(x) dx, or [**h(a) da should be the largest? Which should be smallest? (b) Evaluate the three definite integrals from part a).
1. Let f(x) = sin²(x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin² (x) cos³ (x) ㅠ (a) Plot all three functions on the same graph for 0 ≤ x ≤ Based on the graph, which of 2 [²1(2) dx, [³ g [²*9(x) dx, or [**h(a) da should be the largest? Which should be smallest? (b) Evaluate the three definite integrals from part a).
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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