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Math Help - Integrals: Areas and Distances

  1. #1
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    Integrals: Areas and Distances

    Estimate the area under the graph of f(x) = 5√x from x = 0 to x = 4
    using four approximating rectangles and right endpoints. (Round your answers to four decimal places.)

    (b) Repeat part (a) using left endpoints.


    Δx = ( 4 - 0 )/ 4 = 1

    R4 = 1( 5√1 + 5√2 + 5√3 + 5√4) = 30.7314

    L4 = 1(5√0 + 5√2 + 5√3 + 5√3) = 20.7314


    Am I on track with this? The answer above is marked incorrect on webassign.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Integrals: Areas and Distances

    Yes you are on the right track with part a), although I get to four decimal places, 30.7313 and for part b 20.7313. I assume you merely have a typo for your part b) result. Perhaps it is only an error of rounding.
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