Mathematics Homework Solutions
#9876
Real Analysis: Criteria for Integrability
Suppose the continuous function f:[a,b]->R has the property that:
The integral from c to d f<=0 whenever a<=c
Prove that f(x)<=0 for all x in [a,b]. Is this true if we require only integrability of the function?
Integrability isused to prove a functional inequality.
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