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    Hi all, I have started the AS maths early, not doing it all the time, but, when I am free and do it for fun (bet your all thinking "how is that fun?") anyways, Yesterday I was reading up about integration. Now, when finding areas under curves, do you use limits? What are limits? Why are they used on a definite integral? Many thanks


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    The questions you ask reveal you don't have the slightest idea what you are doing.

    When finding the area under a graph you find the area bounded by the curve, the x axis and two vertical lines (when integrating with respect to x). The equations of the vertical lines are the limits and they identify a "definite" area.
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    (Original post by mabbotts)
    Hi all, I have started the AS maths early, not doing it all the time, but, when I am free and do it for fun (bet your all thinking "how is that fun?") anyways, Yesterday I was reading up about integration. Now, when finding areas under curves, do you use limits? What are limits? Why are they used on a definite integral? Many thanks


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    suppose you wanted to find the area of a rectangle with a fixed height lying on the x-axis . This area would obviously depend on how wide the rectangle was, and this width would be the difference between the leftmost vertical side (left hand x limit) and the rightmost vertical side (right hand x limit).

    It's the same principle with integration - you have a curve, you want to find out how much area is underneath it between 2 particular x values, and those values are your "limits"
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    Ahhh thank you, that makes sense now


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