Let g : [1, 4] –→ R be defined by 4. 1 2, let P, be the partition given by P, ={1,2 -2+ 4. Find the upper and lower sums U(Pn.9) and L(Pay9). Hence show that g is integrable on [1, 4] and find g(x) dx.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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12 Let g : [1, 4] → R be defined by
1<r < 2,
g(x) = { 1,
I = 2,
-2,
2 <r < 4.
For any integer n> 2, let P, be the partition given by P=
{1,2 -2+4.
Find the upper and lower sums U(Pn,g) and L(Pn, 9).
Hence show that g is integrable on [1, 4] and find
9(x) dr.
Transcribed Image Text:12 Let g : [1, 4] → R be defined by 1<r < 2, g(x) = { 1, I = 2, -2, 2 <r < 4. For any integer n> 2, let P, be the partition given by P= {1,2 -2+4. Find the upper and lower sums U(Pn,g) and L(Pn, 9). Hence show that g is integrable on [1, 4] and find 9(x) dr.
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