Andre has been wondering for hours about what happens when integrating piecewise continuous functions. Andre's friend suggests considering the following example. 9(x) = { -2, -6, Andre wants to integration g over the interval [2, 3] x3 x=3 To do this Andre creates the partition Pn= {2+ : { 2 + 1/2 } 22_0 = {2,2 + 1⁄2, 2+ 5pn This partition gives Andre n = Andre calculates that the lower Rieman sum is SPn = -6, and the upper Riemann sum is -(2/n)-10 " ‚2+#}. subintervals which have width 1/n A
Andre has been wondering for hours about what happens when integrating piecewise continuous functions. Andre's friend suggests considering the following example. 9(x) = { -2, -6, Andre wants to integration g over the interval [2, 3] x3 x=3 To do this Andre creates the partition Pn= {2+ : { 2 + 1/2 } 22_0 = {2,2 + 1⁄2, 2+ 5pn This partition gives Andre n = Andre calculates that the lower Rieman sum is SPn = -6, and the upper Riemann sum is -(2/n)-10 " ‚2+#}. subintervals which have width 1/n A
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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-2 is also a wrong answer.
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![Andre has been wondering for hours about what happens when integrating piecewise continuous functions.
Andre's friend suggests considering the following example.
9(x) = {−2, x+3
-6, x=3
Andre wants to integration g over the interval [2, 3]
To do this Andre creates the partition
n
Pn = {2+ k } n _0 = {2,2 + 1⁄2‚2 + 21, ···, 2 + ñ } .
n
This partition gives Andre n
Andre calculates that the lower Rieman sum is
SPn = -6,
and the upper Riemann sum is
-(2/n)-10
Spn
=
subintervals which have width
AY
1/n
PY
Pa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f277d4c-a352-4a51-b553-4b3555d25373%2Fcfce6214-adbb-4da0-b8d9-b60b9902c9ac%2F4hic1wp_processed.png&w=3840&q=75)
Transcribed Image Text:Andre has been wondering for hours about what happens when integrating piecewise continuous functions.
Andre's friend suggests considering the following example.
9(x) = {−2, x+3
-6, x=3
Andre wants to integration g over the interval [2, 3]
To do this Andre creates the partition
n
Pn = {2+ k } n _0 = {2,2 + 1⁄2‚2 + 21, ···, 2 + ñ } .
n
This partition gives Andre n
Andre calculates that the lower Rieman sum is
SPn = -6,
and the upper Riemann sum is
-(2/n)-10
Spn
=
subintervals which have width
AY
1/n
PY
Pa
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