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Let x be the number. If the square root of the number is between 7 and 8, then 7<x<8.
Squaring all sides of the inequality gives 72<x2<82, which simplifies to 49<x<64x can then be any number such that 49<x<64.
Express x2+8x in the form (x+a)2+b
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Evaluate the integral.
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