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## Homework Statement

Suppose f is integrable for all x in[a,b] and f(x)>C ( C is some constant),

Must show that 1/f is also integrable.

## Homework Equations

f is integrable implies Upf-Lpf<[tex]\epsilon[/tex] for some partition in [a,b]

## The Attempt at a Solution

Therefore, I must come up with a good [tex]\epsilon[/tex] such that

Lp(1/f) - Up(1/f) <[tex]\epsilon[/tex]

Also f is bounded because it's integrable so there must be some m,M such that

f([a,b])= [m,M]

in other words f acheives it's minimum and maximum points on the interval.