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The convergence or divergence of an improper integral cannot generally be determined by looking at the graph of the function. Graphs of , , and look almost identical, but the areas under the curve from 0 to 1 and from 1 to infinity can differ significantly.
Contributed by: Bruce Atwood (March 2011)
Open content licensed under CC BY-NC-SA
Wolfram Demonstrations Project
Published: March 7 2011