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General
Easy

Question

The area bounded by the parabolablank y to the power of 2 end exponent equals 4 x blankwith the lines x=1, x=9 is

  1. fraction numerator 436 over denominator 15 end fraction    
  2. fraction numerator 208 over denominator 3 end fraction    
  3. fraction numerator 236 over denominator 5 end fraction    
  4. fraction numerator 340 over denominator 13 end fraction    

The correct answer is: fraction numerator 208 over denominator 3 end fraction


    y to the power of 2 end exponent equals 4 x comma blank x equals 1 comma blank x equals 9
    R. A equals 2 not stretchy integral from 1 to 9 of 2 square root of x d x
    equals 2.2. fraction numerator 2 over denominator 3 end fraction open parentheses x to the power of 3 divided by 2 end exponent close parentheses subscript 1 end subscript superscript 9 end superscript

    equals fraction numerator 8 over denominator 3 end fraction open parentheses 27 minus 1 close parentheses
    equals fraction numerator 8 over denominator 3 end fraction open parentheses 26 close parentheses
    equals fraction numerator 208 over denominator 3 end fraction

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