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# Cálculo II - Aula 6: Integrais definidas

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### Cálculo II - Aula 6: Integrais definidas

1. 1. Aula 6 - Integrais Deﬁnidas Willian Vieira de Paula 22 de mar¸o de 2012 c Willian Vieira de Paula Aula 6 - Integrais Deﬁnidas
2. 2. ´ AreaQual o signiﬁcado de ´rea? O que signiﬁca encontrar a ´rea de um a atriˆngulo, quadrado, um pol´ a ıgono, etc? Willian Vieira de Paula Aula 6 - Integrais Deﬁnidas
3. 3. Como calcular a ´rea da regi˜o plana da ﬁgura, entre o eixo x e o a agr´ﬁco da fun¸˜o y = x 3 − 5x 2 + 2x + 15, no intervalo 1 ≤ x ≤ 5 ? a ca Willian Vieira de Paula Aula 6 - Integrais Deﬁnidas
4. 4. Deﬁni¸˜o ca ξ1 ∈ [x0 , x1 ]; . ξ2 ∈ [x1 , x2 ]; . . ξi ∈ [x0 , xi ]; A soma n f (ξ1 )∆1 x + f (ξ2 )∆2 x + · · · + f (ξn )∆n x = f (ξi )∆i x+ i=1 ´ chamada de soma de Riemann. e Willian Vieira de Paula Aula 6 - Integrais Deﬁnidas
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