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Math Help - maclaurin expansion

  1. #1
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    maclaurin expansion

    expand f(x)= xcosx

    up to x^3

    differentiating many times my expansion is




    to find an approximate value for



    do I just plug in the limit values and evaluate as below?

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  2. #2
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    must I integrate first?
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  3. #3
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    First of all, since this is clearly a calculus question, why have you posted in pre-calculus?

    Now you need to evaluate \displaystyle \int{x - \frac{x^3}{2}\,dx} and then substitute the limits.
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