3. The graph of f is shown below. Evaluate the integral -10 10 -5 f(x) dx f(x by interpreting it in terms of areas. Remember that the area below the curve and above the x-axis is positive and the area below the x-axis and above the curve is considered negative, so the integral represents net area. -10 10 -5- 0 -5- -10 10 4. If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f³₁[2f(x) - 4g(x)]dx.
3. The graph of f is shown below. Evaluate the integral -10 10 -5 f(x) dx f(x by interpreting it in terms of areas. Remember that the area below the curve and above the x-axis is positive and the area below the x-axis and above the curve is considered negative, so the integral represents net area. -10 10 -5- 0 -5- -10 10 4. If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f³₁[2f(x) - 4g(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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![3. The graph of f is shown below. Evaluate the integral
10
Lo
-10
by interpreting it in terms of areas.
Remember that the area below the curve and above the x-axis is positive and the area below the x-axis and
above the curve is considered negative, so the integral represents net area.
-10
f(x) dx
-5
10
LO
0
-5-
-10
5
10
4. If f₁ f(x) dx = 6, f f(x) dx = 2, and f3, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7b24ea8-624d-40f3-8851-4ac41c748087%2Fde018d49-002c-4ba1-9d5d-03f53f71e492%2Frfygthd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. The graph of f is shown below. Evaluate the integral
10
Lo
-10
by interpreting it in terms of areas.
Remember that the area below the curve and above the x-axis is positive and the area below the x-axis and
above the curve is considered negative, so the integral represents net area.
-10
f(x) dx
-5
10
LO
0
-5-
-10
5
10
4. If f₁ f(x) dx = 6, f f(x) dx = 2, and f3, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.
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