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For x ^ 2 ne n pi + 1, n in N ...

For ` x ^ 2 ne n pi + 1, n in N ` ( the set of natural numbers ), the integral ` int x sqrt ((2 sin (x ^ 2 - 1 ) - sin 2 (x ^ 2 - 1 ))/(2 sin ( x ^ 2 - 1 ) + sin2 (x ^ 2 - 1 ) )) dx ` is

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