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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ea15aad-ce09-44c1-ae1a-fd69c581a5af%2F20e6fd00-3217-4915-b4a1-1f975f88de26%2Fyqhakl_processed.png&w=3840&q=75)
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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