Exercise 3: Let f be a continuous function. d (a) Compute | tf(t) dt. dx (b) Compute | xf(t) dt. (Remark: The final answer may not look very simplified.) dx (c) Suppose f is twice differentiable. Compute / tf"(t) dt. Remark: 2(c) is either a hint for 1(e), or vice versa.
Exercise 3: Let f be a continuous function. d (a) Compute | tf(t) dt. dx (b) Compute | xf(t) dt. (Remark: The final answer may not look very simplified.) dx (c) Suppose f is twice differentiable. Compute / tf"(t) dt. Remark: 2(c) is either a hint for 1(e), or vice versa.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Exercise 3: Let f be a continuous function.
d
(a) Compute | tf(t) dt.
dx
(b) Compute | xf(t) dt. (Remark: The final answer may not look very simplified.)
dx
(c) Suppose f is twice differentiable. Compute / tf"(t) dt.
Remark: 2(c) is either a hint for 1(e), or vice versa.
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