Exercise 1. Express the limit as a definite integral on the given interval cosxi a) lim E-1 Xị Ax, [T, 2n] n-00 Exercise 2. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a) G(x) = S, cosVE dt %3D b) h(x) = " Int dt %3D Exercise 3. Use the properties of definite integral in the following: a) If f f(x)dx = 12, and ſ, f(x)dx = 3.6, find ſ, f(x)dx. %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Exercise 1.
Express the limit as a definite integral on the given interval
a ) lim Σ-1
cosxį
Ax, [t, 2n]
Exercise 2.
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of
the function.
a) G(x) = S cosvE dt
b) h(x) = " Int dt
Exercise 3. Use the properties of definite integral in the following:
a) If f f(x)dx = 12, and f(x)dx
3.6, find , f(x)dx.
%3D
b) If f f(x)dx = 37, and , g(x)dx = 16, find
[2f(x) + 3g(x)]dx.
Transcribed Image Text:Exercise 1. Express the limit as a definite integral on the given interval a ) lim Σ-1 cosxį Ax, [t, 2n] Exercise 2. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a) G(x) = S cosvE dt b) h(x) = " Int dt Exercise 3. Use the properties of definite integral in the following: a) If f f(x)dx = 12, and f(x)dx 3.6, find , f(x)dx. %3D b) If f f(x)dx = 37, and , g(x)dx = 16, find [2f(x) + 3g(x)]dx.
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