Sunday, November 13, 2011

The improper integral (from 0 to 1) (sin^(2)x)/(x)^(1/2) dx find function that shows it converges?

The improper integral (from 0 to 1) (sin^(2)x)/(x)^(1/2) dx cannot be evaluated directly because you cannot find an appropriate antiderivative. However, by making a comparison with a suitable function you can determine whether it converges. Find such a function.

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