Find the integral (riemann integrable function)

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Homework Statement


Let s, t be real numbers and c ∈ [a,b]
f: [a,b] -> Reals
f(x) = s, x ∈ [a,b]\{c}
t, x=c


Homework Equations





The Attempt at a Solution



I first tried to prove this is R-integrable by taking a partition P = {s}
Then Spf-spf = (s-s)...= 0 < E (E>0)

Is this okay?

Anyways once I do prove it is R-integrable, I don't quite know how to get the integral from [a,b] of f(x)
It's two parts, so I mean, each is a real number, ...it would end up as x?
 

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