Lista - Somas e Integral Definida - 2024-1

Somatórios   (0) ( ) )1 ( ( ) ... )1( (2) (0) )1( )1 ( ) ( 2 )1 ( 6 )1 1)(2 ( 100 99 98 .... 4 3 2 , 1 2 )1 ( ) ( ... ... 1 2 1 3 1 2 1 1 1 1 1 1 1 3 2 1 1 F F n F n F n F F F F F k k F n n k n n n k n n k a c ca b a b a nc c c c c c c c c c c c n k n k n k n k n k k n k k n k n k k n k k k k n k n n k k                                                                     p n n k k n n k k p k k k k k A A A A A x f x A x f k x a x n a b x lim lim 1 1 ) ( ) (                       Exemplo: Calcule a área limita por: 6 6) ( 6 6 6 ... 6 6 6 / 6 / 6 3 ) ( / 2 / 2 2 0 ,3 ) ( lim 1                     n n k k k k A n n n n n n n n A x f k n x n x até x x x f Exemplo: Calcule a área limita por: 8 8 8 ) ( 8 2 )1 ( 16 16 16 16 4 4 4 / ) ( / 4 / 4 4 0 , ) ( lim lim 2 2 1 2 2 1 2 2                              n A n n n A n n n k n n k n k n n k A k n x f k n x n x até x x x x f n n n k n k k k k Exemplo: Calcule a área limita por: 9 3 0 3 3 3 3 0 , ) ( 3 3 3 0 3 0 3 2 2           x x x dx x até x x x x f 21 3 1 3 4 3 4 1 , ) ( 3 3 4 1 4 1 3 2 2           x x x dx x até x x x x f