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Calculus
One, Two, Three, Floor Integral (
Posted on 20071112
)
Evaluate:
_{4}
∫
[t + [t + [t]]] dt
^{4}
where [p] is the greatest integer ≤ p.
See The Solution
Submitted by
K Sengupta
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Step by Step Solution
Comment 1 of 1
Am I missing something?
It looks like [t + [t + [t]]] is just 3*[t]
This is a step function that is
0 between 0 and 1,
3 between 1 and 2,
6 between 2 and 3,
9 between 3 and 4.
Between 4 and 0 the steps are 12, 9, 6, 3.
The integral is the sum of these 8 steps, which is 12.
Posted by
Steve Herman
on 20071112 18:14:03
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