Guyz please help me !!

[mooberrymarz]

hey! Could any of u plz help me with this question. Its for my general integration theory assigment.

'Use an argumetn by contradiction to establish the following claim:
If f is continuous on R and [tex]\int |f|= 0,then f = 0.[\tex]

thanx

[mathman]

Rough argument. If f is not 0 at some point, it must be not 0 in an interval around that point (continuity). Therefore the integral of |f| will be >0.