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External Evaluation of the European Baccalaureate (Annexes)

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any extremum, asymptotes on <strong>the</strong> graph <strong>of</strong> a function.<br />

Concave/convex nature <strong>of</strong> <strong>the</strong> graph <strong>of</strong> a function,<br />

points <strong>of</strong> inflection; tangents at such points.<br />

- Application <strong>of</strong> <strong>the</strong>se ideas, and those <strong>of</strong> previous<br />

paragraphs, to <strong>the</strong> study <strong>of</strong> polynomial, rational, circular<br />

( sine, cosine, tangent ) functions.<br />

Integration<br />

- Integral <strong>of</strong> a function defined on a closed and bounded<br />

interval<br />

- Graphical interpretation <strong>of</strong> such integrals as area.<br />

- Properties <strong>of</strong> integrals :<br />

a<br />

! f(x) dx = 0 ; ! f(x) dx = " ! f(x) dx<br />

a<br />

c<br />

! ! !<br />

a<br />

Linearity:<br />

b<br />

f(x) dx = f(x) dx + f(x) dx<br />

a<br />

! [ ] ! !<br />

b<br />

b<br />

a<br />

a<br />

b<br />

f(x) + g(x) dx = f(x) dx + g(x) dx<br />

" [ ! ] ! "<br />

a<br />

f(x) dx = f(x) dx<br />

b<br />

a<br />

b<br />

a<br />

c<br />

b<br />

b<br />

a<br />

b<br />

a<br />

Y<br />

Y<br />

Y<br />

Y<br />

Y<br />

Y<br />

Y<br />

Y<br />

74

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