Aplique el cambio de variable u tan x para calcular

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Unformatted text preview: 5. Aplique el cambio de variable u = tan( x ) para calcular las siguientes primi2 tivas (a) (b) (c) 1 . sen(x) 1 . cos(x) 1 . 1 + sen(x) (d) (e) 6. Calcule las siguientes primitivas 64 1 . 1 − cos(x) 1 . sen(x) + cos(x) Ingenier´ Matem´tica ıa a Universidad de Chile 1 (a) √ 7. Calcule x2 −1 . (b) g (x)g ′ (x) 1 + g (x)2 1 √ . 2+1 x . Problemas P1. Calcular la siguiente integral sen(x) dx. 1 + sen(x) P2. (a) Sea In = cos(nx) dx. (cos(x))n (1) Calcular I1 , I2 . sen(x) (2) Calcular dx. (cos(x))n+1 (3) Encontrar una relaci´n de recurrencia para expresar In+1 en funo ci´n...
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This test prep was uploaded on 04/01/2014 for the course MAT 01 taught by Professor Orlandocampos during the Spring '14 term at Universidad de Chile.

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