Let F(x) = | f(t) dt where f(t) is the function whose graph is shown below: 3. (1, 3) y= f(t) Radius = 1 (0, 0) (2.5, 0) (6, 0) (4, 0) (3, –1) (a) Evaluate the following, without using the fundamental theorem of calculus: (i) F(0) (ii) F(1) (iii) F(3) (iv) F(5) (v) F(6) It may help you to know that the area of a circle is: A = rr² (b) Using the fundamental theorem of calculus, draw the graph of F'(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let F(x) = | f(t) dt where f(t) is the function whose graph is shown below:
3.
(1, 3)
y= f(t)
Radius = 1
(0, 0)
(2.5, 0)
(6, 0)
(4, 0)
(3, –1)
(a) Evaluate the following, without using the fundamental theorem of calculus:
(i) F(0)
(ii) F(1)
(iii) F(3)
(iv) F(5)
(v) F(6)
It may help you to know that the area of a circle is: A = rr²
(b) Using the fundamental theorem of calculus, draw the graph of F'(x).
Transcribed Image Text:Let F(x) = | f(t) dt where f(t) is the function whose graph is shown below: 3. (1, 3) y= f(t) Radius = 1 (0, 0) (2.5, 0) (6, 0) (4, 0) (3, –1) (a) Evaluate the following, without using the fundamental theorem of calculus: (i) F(0) (ii) F(1) (iii) F(3) (iv) F(5) (v) F(6) It may help you to know that the area of a circle is: A = rr² (b) Using the fundamental theorem of calculus, draw the graph of F'(x).
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