Help Solving Integral Inequality: f to 1/f

  • #1

shegiggles

3
0
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.
 
  • #2
It's not true. What about f(x)=x on [0,1]?
 
  • #3
Well, perhaps he meant that 0<|f|<k, on [0,1] for some constant k?
 
  • #4
Erm, arildno, you should reread that. (k=1...).
 
  • #5
matt grime said:
Erm, arildno, you should reread that. (k=1...).

can you please help me with this problem?
Thanks
 
  • #6
We can't because we have shown the question to be false.
 
  • #7
It would help if you would state exactly what the problem is. It cannot be what you originally wrote!
 

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