Question. Let f:[0,1] → R be a function such that f (x) = x³. Prove that f is R-integrable and determine the value of %D | f(x)dx. 1 2 for the partition P = {0,ñ'n , .. E-1 13 = = (n* + 2n³ + n²). ,1}.You may need the identit %3D .... %3D i=1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question. Let f : [0,1] → R be a function such that f (x) = x³.
Prove that f is R-integrable and determine the value of
| f(x)dx.
1 2
n-1
for the partition P = {0,÷,²,...,",1}.You may need the identity
n
ΣL13 =(n4 + 2n3 + n2).
Transcribed Image Text:Question. Let f : [0,1] → R be a function such that f (x) = x³. Prove that f is R-integrable and determine the value of | f(x)dx. 1 2 n-1 for the partition P = {0,÷,²,...,",1}.You may need the identity n ΣL13 =(n4 + 2n3 + n2).
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