54. Properties of integrals Suppose f(x) > 0 on [0, 2], f(x) ≤ 0 on [2, 5], ₁² f(x) dx c = 6, and ſ₂ f(x) dx = −8. Evaluate the following integrals. 5 a. [ f(x) dx 5 b. [³ |8(2)| dæ C. 5 [²4\f(x) dx 5 d. f.° [° (f(x) + f(x)\) dx

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.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 1YT: YOUR TURN Suppose x are y are both functions of t and x3+2xy+y2=1. If x=1, y=2, and dxdt=6, then...
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54. Properties of integrals Suppose f(x) > 0 on [0, 2], ƒ(x) ≤ 0 on [2, 5], f² ƒ(x) dx = 6, and ſ₂ ƒ(x) dx = −8.
Evaluate the following integrals.
5
a. Sº f(x) dx
To
[° \f(x)\ dr
5
.5
·
C.
4 f(x) dx
d.
· * (f(x) + f(x)) dx
Transcribed Image Text:54. Properties of integrals Suppose f(x) > 0 on [0, 2], ƒ(x) ≤ 0 on [2, 5], f² ƒ(x) dx = 6, and ſ₂ ƒ(x) dx = −8. Evaluate the following integrals. 5 a. Sº f(x) dx To [° \f(x)\ dr 5 .5 · C. 4 f(x) dx d. · * (f(x) + f(x)) dx
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,