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Math Help - Definite Integration

  1. #1
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    Definite Integration

    The question on my paper has a graph, with the curve  x^2 - 6x + 11 and the line  -x + 7

    It asks to find the co-ordinates of the points  A and  B

    and for the area of the shaded region bounded by the curve and under the line.

    For the co-ordinates, I had:

     A (1 , 6) B (4 , 3)

    and for the area, I had  11\frac{1}{2} units^2

    Could someone please check if this is right?
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  2. #2
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    Quote Originally Posted by db5vry View Post
    The question on my paper has a graph, with the curve  x^2 - 6x + 11 and the line  -x + 7

    It asks to find the co-ordinates of the points  A and  B

    and for the area of the shaded region bounded by the curve and under the line.

    For the co-ordinates, I had:

     A (1 , 6) B (4 , 3)

    and for the area, I had  11\frac{1}{2} units^2

    Could someone please check if this is right?
    The intersection points are correct. How did you get the area answer?
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    Quote Originally Posted by danny arrigo View Post
    The intersection points are correct. How did you get the area answer?
    I integrated the value of the curve and the value of the line
    And then inserted the values of the x-co-ordinates (4 and 1) and took the answers away from each other
    for the curve I had 25 units squared
    for the line I had 13 and a half units squared
    I took one away from the other to get 11 and a half units squared.
    Is this right?
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  4. #4
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    Quote Originally Posted by db5vry View Post
    I integrated the value of the curve and the value of the line
    And then inserted the values of the x-co-ordinates (4 and 1) and took the answers away from each other
    for the curve I had 25 units squared
    for the line I had 13 and a half units squared
    I took one away from the other to get 11 and a half units squared.
    Is this right?
    I got different answers. Can you show some detail on the integrations?
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  5. #5
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    Quote Originally Posted by danny arrigo View Post
    I got different answers. Can you show some detail on the integrations?
    It was too much to type so I wrote it out here instead:

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