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Math Help - area of a region bounded by 2 graphs

  1. #1
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    area of a region bounded by 2 graphs

    I need to find the area of the region bounded by the graph of
    y= x^3 - 2x^2 - 3x, and the x- axis.
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    Quote Originally Posted by lucky13 View Post
    I need to find the area of the region bounded by the graph of
    y= x^3 - 2x^2 - 3x, and the x- axis.
    Solving when  <br />
y=0 \implies 0= x^3 - 2x^2 - 3x \implies 0= x(x^2 - 2x - 3) \implies 0= x(x-3)(x+1) \implies x= -1,0,3<br /> <br />

    Now solve \int_{-1}^0x^3 - 2x^2 - 3x~dx - \int_{0}^3x^3 - 2x^2 - 3x~dx
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  3. #3
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    Do I replace x with -1 in the first formula and x with 3 in the second and then subtract the two?
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  4. #4
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    Integrate first, what do you get?
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