Let f R n bounded such that f ( ) c 0 for all R Prove that, if f 2 is integrable on R then f is integrable on R What happens if f ( ) 0 for all R T

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Let f: R n bounded such that f ( ) c> 0 for all R. Prove that, if f 2 is integrable on R then

Let f: R ⁿ bounded such that f () c> 0 for all R. Prove that, if f² is integrable on R then f is integrable on R. What happens if f () 0 for all R?
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Let f: R n bounded such that f ( ) c> 0 for all R. Prove that, if f 2 is integrable on R then