Thread: Lsub3 and Usub3 for function

Find L₃(f) and U₃(f) for the function f(x) =1/(x+1)and the interval
[a,b] = [0,3].

Originally Posted by chizmin10

Find L₃(f) and U₃(f) for the function f(x) =1/(x+1)and the interval [a,b] = [0,3].

Please define . Please give an exact definition.

The U is the n-th upper sum for f and the L is the n-th lower sum for f.

Originally Posted by chizmin10

The U is the n-th upper sum for f and the L is the n-th lower sum for f.

Draw a graph. You will see that the function is decreasing on .

That means that an upper sum is a left-hand sum and a lower sum is a right-hand sum.

Because we have .