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Math Help - Calculus problem : Check my answer

  1. #1
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    Calculus problem : Check my answer

    Decide whether f is a Riemann integrable. if yes find integral of f(x) dx from 0 to 2.

    f(x) = x + [x] [x] = greatest integer function


    For this problem: I graphed it and actually it came out to be a triangle with the base being 2 and the height 4. So my answer is 4.

    Did I do this right?
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  2. #2
    TD!
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    Are you sure about that? I get a triangle from 0 to 1 and then a trapeziod from 1 to 2 with a total area of 3. It was f(x) = x + floor(x) right?
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  3. #3
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    what is floor(x) is?

    I will graph again, but I don't know what floor(x) is?
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  4. #4
    TD!
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    Take a look at this. What do you mean with [x], floor(x) or ceiling(x)?
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