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# Cálculo II - Aula 8: Área e Integral Definida

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### Cálculo II - Aula 8: Área e Integral Definida

1. 1. ´Aula 8 - Area e Integral Deﬁnida Willian Vieira de Paula 29 de mar¸o de 2012 c Willian Vieira de Paula ´ Aula 8 - Area e Integral Deﬁnida
2. 2. ´ Area bSe f (x) ≥ 0, para todo x ∈ [a, b], ent˜o a a f (x)dx ´ a ´rea sob o e agr´ﬁco de f (x). a Willian Vieira de Paula ´ Aula 8 - Area e Integral Deﬁnida
3. 3. Calcule e explique o que representa geometricamente 2 (x 3 − 3x 2 + x + 1)dx −1 Willian Vieira de Paula ´ Aula 8 - Area e Integral Deﬁnida
4. 4. ´ Areas entre curvasA ´rea da regi˜o limitada pelas curvas y = f (x), y = g (x), e pelas a aretas x = a e x = b, onde f e g s˜o cont´ a ınuas e f (x) ≥ g (x), paratodo x ∈ [a, b], ´ e b [f (x) − g (x)] dx a Willian Vieira de Paula ´ Aula 8 - Area e Integral Deﬁnida