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Inversely Integrating An Inverse (Posted on 2008-10-15) Difficulty: 2 of 5
Evaluate this definite integral:

1
∫ [1/y]-1 dy
0

Note: [x] is the greatest integer ≤ x.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: Numerical answer -- then Google search | Comment 2 of 3 |
(In reply to Numerical answer by Charlie)

A Google search for the number indicates it's probably pi^2/6 - 1 = .6449340668482231, with the difference from the given total being the result of accumulated errors over the 262,102 terms added.
  Posted by Charlie on 2008-10-15 13:11:25

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