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Math Help - integration

  1. #1
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    integration

    having difficulties with integration

    1. determine the area bounded by the curve y=x^2-3x+7, the x axis and the ordinates at x=1 and x=3
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Draw the system.
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  3. #3
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    Does the function have any zeros on x \in (1,3) ?
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  4. #4
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    Quote Originally Posted by daniel123 View Post
    having difficulties with integration

    1. determine the area bounded by the curve y=x^2-3x+7, the x axis and the ordinates at x=1 and x=3
    f(x)=x^2-3x+7=ax^2+bx+c

    b^2-4ac<0 means that the graph does not cross the x-axis.

    f(0)=7\Rightarrow graph lies above the x-axis and the integration will give the area
    between the curve and the x-axis.

    Hence, integrate the three terms of the function and evaluate the result
    from x=1 to x=3.
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