- #1
CarmineCortez
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- 0
Homework Statement
Let f map [a,b]-->R be a continuous nonegative function. Suppose Integral f(x)dx from a to b = 0 show that f = 0 on [a,b]
The Attempt at a Solution
Just not sure if this is good or not..
so the lower sum <= 0 = integral f(x) dx
but the lower sum must be 0 since f is non negative.
now if f >0 then the lower sum >0 so this is a contradiction, f = 0.