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sume that f(t) is continuous on [a, b| and that u = g(t) is cont ferentiable on [a, b], then f(u) du. a

sume that f(t) is continuous on [a, b| and that u = g(t) is cont ferentiable on [a, b], then f(u) du. a

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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4) Assume that f(t) is continuous on [a, b] and that u = g(t) is continuously differentiable on [a, b), then F(a(e) g'(t) dt = [ f(u) du. a а) True b) False
Transcribed Image Text:4) Assume that f(t) is continuous on [a, b] and that u = g(t) is continuously differentiable on [a, b), then F(a(e) g'(t) dt = [ f(u) du. a а) True b) False
5) Assume that f is continuous and strictly increasing on [0, 1] with f(0) = 0 and f(1) : = 1 with f(t)dt = 1. Assume that g is the inverse of f on [0, 1]. Then So 9(t)dt = }. a) True b) False
Transcribed Image Text:5) Assume that f is continuous and strictly increasing on [0, 1] with f(0) = 0 and f(1) : = 1 with f(t)dt = 1. Assume that g is the inverse of f on [0, 1]. Then So 9(t)dt = }. a) True b) False
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