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Math Help - Question relating to binomial expansion and integration

  1. #1
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    Question relating to binomial expansion and integration

    Hi All

    I am working on a question where I am given (1 + x^2)^5 and asked to expand out (using binomial expansion). I have no problem with that.

    Then I am asked to integrate the equation for values 0 -> 0.4. No problem there.

    But then it asks how the estimation of the area using the binomial expansion compares with the integration result? What is that about?

    Angus
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  2. #2
    Super Member Quacky's Avatar
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    Integration tells you the area under a curve. How similar are your results? Substitute in those limits - the results should be very similar.
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  3. #3
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    I am ok with the integration, it is the binomial expansion bit I am stuck on. Do you mean I substitute 0.4 for x and then do binomial expansion?
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  4. #4
    Super Member Quacky's Avatar
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    Try it and see. Are they similar? Substitute x = 0.4 into the expansion you did at the beginning.
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