Question: Given I = a b f ( x ) dx Assume, Ln and Rn are the left and right reimann sums respectively that both estimate

Given

I=abf(x) dx

Assume, Ln and Rn are the left and right reimann sums respectively that both estimate I

Which are true

1) If f>0 and f'<0 on [a,b] then Ln < I

2) If f>0 and f'<0 on [a,b] then Ln < I

3) If f<0 and f'>0 on [a,b] then Rn < I

4) If f<0 and f'>0 on [a,b] then Rn > I

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