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Find two non-Riemann integrable functions

Find two non-Riemann integrable functions whose sum is not Riemann integrable.
1. 3 answers
2. asked by David
3. 719 views
Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.
1. 1 answer
2. asked by Ashley
3. 666 views
Let f : [a,b] → R be a Riemann integrable function. Let α > 0 and β ∈ R. Then define g(x) := f(αx+β) on the interval I =
1. 0 answers
2. asked by Kait
3. 596 views
f(x) = {2 if x ! [0, 1) −1 if x = 1 3 if x ! (1, 2] −5 if x ! (2, 3) 20 if x = 3 } Prove that the function is Riemann
1. 1 answer
2. asked by mark
3. 493 views
Prove that the function defined by:f(x)={1 if x is rational, 0 if x is irrational is not integrable on [0,1]. Show that no
1. 1 answer
2. asked by Jacob
3. 675 views
Show that the four products X*1(r)X2(r), X1(r)X*2(r), X1(r)X2(r) and X*1(r)X*2(r) are integrable (summable) functions given that
1. 1 answer
2. asked by Angela
3. 258 views
Is f(x)=|x+2| integrable? Please give a reason behind your answer.Yes, it is piecewise integrable.
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2. asked by Tezuka
3. 569 views
Let f: [a,b] -> R. Given f is integrable and bounded below, show 1/f is integrable.
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2. asked by Shegiggles
3. 437 views
1. What is the Right Riemann Sum for f(x)=x−3 over the interval [8,11], with n=3 rectangles of equal width?2. What is the
1. 1 answer
2. asked by S
3. 1,150 views
The following sum[(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right
1. 0 answers
2. asked by Salman
3. 921 views