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Cosider the equation int(0)^(x) (t^(2)-8...

Cosider the equation `int_(0)^(x) (t^(2)-8t+13)dt= x sin (a//x)`
If x takes the values for which the equation has a solution, then the number of values of `a in [0, 100]` is

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The correct Answer is:
`a= 3pi(4n+1)`
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