Use the Midpoint Rule with n = 4, to approximate the value of the definite integral. Use a graphing utility to verify your result.?

 Use the Midpoint Rule with n = 4

to approximate the value of the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.)

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  • 4 months ago
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    So: 

    delta x = (5-3)/4 = 1/2

    thus we have the points: 3, 7/2, 4, 9/2, 5

    then we get:

    f((3+7/2) = 48/13

    f((7/2 + 4)/2) = 16/5

    f(4 + 9/2)/2) = 48/17

    f(9/2 + 5)/2) = 48/19

    add together and multiply by delta x (=1/2)

    and you finish up with something like: 6.121(the answer)

     

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