If f is integrable and bounded below, is 1/f integrable?

[shegiggles]

I really need help on this. Completely lost. Please help me.
Let f: [a,b] -> R. Given f is integrable and bounded below, show 1/f is integrable.

 

[StatusX]

It's not true. What about f(x)=x on [0,1]?

 

[arildno]

Well, perhaps he meant that 0<|f|<k, on [0,1] for some constant k?

 

[matt grime]

Erm, arildno, you should reread that. (k=1...).

 

[shegiggles]

Erm, arildno, you should reread that. (k=1...).

can you please help me with this problem?
Thanks

 

[matt grime]

We can't because we have shown the question to be false.

 

[HallsofIvy]

It would help if you would state exactly what the problem is. It cannot be what you originally wrote!