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Integration HELPP!! (1 Viewer)

Carrotsticks

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The reason why the integral (sometimes called the 'anti-derivative') gives the area under the curve, is from the Fundamental Theorem of Calculus and something called 'Riemann Sums' (that is what deswa1 and D94 were talking about with the rectangles).

http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

However, the proof for this is well beyond the scope of even the Extension 2 course and it is one of the few things in HSC Mathematics that you will have to take for granted.
 

sky_angel

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Oh okay.... I read it but I didn't understand anything. thanks anywayyy :3

ill ask my teacher tomorrow to explain why, maybe he will know.
 

Carrotsticks

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Oh okay.... I read it but I didn't understand anything. thanks anywayyy :3

ill ask my teacher tomorrow to explain why, maybe he will know.
Somehow I doubt that he will know, but give it a shot anyway.
 

sky_angel

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Somehow I doubt that he will know, but give it a shot anyway.
He told me he knew the proof, but couldn't be bothered showing me because I wouldn't understand it anyway. I asked him about the rectangle things and he said he didn't know I was talking about and I sensed that he was getting a bit angry so I stopped asking :(
 

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