Attachment 25963

Can someone give me a hint for this one ?

It's from Elementary Analysis by Ross.

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- Nov 27th 2012, 03:26 PMkasper90Improper Integrals
Attachment 25963

Can someone give me a hint for this one ?

It's from Elementary Analysis by Ross. - Nov 27th 2012, 03:46 PMPlatoRe: Improper Integrals
- Nov 29th 2012, 03:49 PMkasper90Re: Improper Integrals
Okay, I tried it. I thought about this:

1. Let h := |f| - f

2. h is continuous on (a,b) (as |f| and f are)

3. 0 <= h <= 2 |f| (as -f <= |f| )

than use 36.6 ?

than integral h exist

than integral h - |f| exist (as |f| exist)

and integral f exist