Let f:[0,1][0,1] be defined by f(x)== 2-1 24 Then fis a Riemann integrable function such that (a) [f(x) dx = ² 3 (b) ≤ / < f*°ƒ (x)} &x < ² 2 (c) ff(x) dx=1 for x E 2 (d)} } }

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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Let f:[0,1] → [0,1] be defined by f(x)=
2-1
24
(a) f(x) = ²
2
3
(b) } }/ < f ° ƒ (x)} &x < ²
(©) fƒ(x) dx = 1
(d) < ff(x) dx < 1
2
3
for x E
Then fis a Riemann integrable function such that
2-1-1 2-1
24-1 2
k≥1.
Transcribed Image Text:Let f:[0,1] → [0,1] be defined by f(x)= 2-1 24 (a) f(x) = ² 2 3 (b) } }/ < f ° ƒ (x)} &x < ² (©) fƒ(x) dx = 1 (d) < ff(x) dx < 1 2 3 for x E Then fis a Riemann integrable function such that 2-1-1 2-1 24-1 2 k≥1.
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