38. If i f(x) dx = 12 and f f(x) dx = 3.6, find f f(x) dx. 39. If(f(r) dr 4

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
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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Number 38
29-34 Evaluate the integral by interpreting it in terms of areas.
29. f(x - 1) dx
30. ² √4 - x² dx
31. º(1 + √9 − x²) dx
33. ²₁ |x|dx
C
35. Evaluate
sin²x cos x dx.
36. Given that 3x √x² + 4 dx = 5√5 - 8, what is
S₁3u √/u² + 4 du?
37. Write as a single integral in the form f f(x) dx:
S²₂ f(x) dx + f(x) dx - f₁² f(x) dx
38. If f(x) dx = 12 and f f(x) dx = 3.6, find f f(x) dx.
39. If f f(x) dx = 37 and fo g(x) dx = 16, find
[2f(x) + 3g(x)] dx.
40. Find ( f(x) dx if
f(x)
32., (3-2x) dx
34. fx-5|dx
=
[3.
for x < 3
x for x ≥ 3
44
45.
46.
47-4
47. 12
n-
48. lin
n-
Copyright 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic right.
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the ri
Transcribed Image Text:29-34 Evaluate the integral by interpreting it in terms of areas. 29. f(x - 1) dx 30. ² √4 - x² dx 31. º(1 + √9 − x²) dx 33. ²₁ |x|dx C 35. Evaluate sin²x cos x dx. 36. Given that 3x √x² + 4 dx = 5√5 - 8, what is S₁3u √/u² + 4 du? 37. Write as a single integral in the form f f(x) dx: S²₂ f(x) dx + f(x) dx - f₁² f(x) dx 38. If f(x) dx = 12 and f f(x) dx = 3.6, find f f(x) dx. 39. If f f(x) dx = 37 and fo g(x) dx = 16, find [2f(x) + 3g(x)] dx. 40. Find ( f(x) dx if f(x) 32., (3-2x) dx 34. fx-5|dx = [3. for x < 3 x for x ≥ 3 44 45. 46. 47-4 47. 12 n- 48. lin n- Copyright 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic right. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the ri
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