graph 3-√4-²-2 ≤ ≤0, x x-3-2 0 < * the interval -2 < < 5. Then calculate the definite integral f(x) dx in terms of area (do not antidifferentiate).

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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1.
(a) Sketch a graph of the function
-{
√4-²-2 ≤*≤0.
0 < x.
la-31-2
on the interval -2 <<5. Then calculate the definite integral
f(x) dz in terms of area (do not antidifferentiate).
3-
0
(b) Find the derivative F'(x) of
F(x) = sin²(x) + f Va² +t sin(t) dt
(Hint: use the Fundamental Theorem of Calculus and differentiation rules.)
Transcribed Image Text:1. (a) Sketch a graph of the function -{ √4-²-2 ≤*≤0. 0 < x. la-31-2 on the interval -2 <<5. Then calculate the definite integral f(x) dz in terms of area (do not antidifferentiate). 3- 0 (b) Find the derivative F'(x) of F(x) = sin²(x) + f Va² +t sin(t) dt (Hint: use the Fundamental Theorem of Calculus and differentiation rules.)
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