C1lculo diferencial e integral

Apuntes

Cálculo diferencial e integral Purcell Varberg Rigdon Purcell Varberg Rigdon NOVENA EDICIÓN FORMAS HIPERBÓLICAS 78 79 80 81 82 83 84 85 86 87 88 89 90 91 FORMAS ALGEBRAICAS DIVERSAS 92. 93 94 95 96 97 98 99 100a 100b 101 102 103 104 105 106 107 108 109 110 INTEGRALES DEFINIDAS 111 112 113 L p/2 0 sen n u du = L p/2 0 cos n u du = μ 1 – 3 – 5 – Á – (n - 1) 2 – 4 – 6 – Á – n p 2 2 – 4 – 6 – Á – (n - 1) 3 – 5 – 7 – Á – n L q 0 e -au 2 du = 1 2 A p a (a 7 0) L q` 0 u n e - u du = Ω(n + 1) = n! (n Ú0) L du ( 2 2au - u 2 ) n = u - a (n - 2)a 2 ( 2 2au - u 2 ) 2 - n + n - 3 (n - 2)a 2 L du ( 2 2au - u 2 ) n - 2 L ( 2 2au - u 2 ) n du = u - a n + 1 (2 au - u 2 ) n/2 + na 2 n + 1 L ( 2 2au - u 2 ) n - 2 du L du u n 2 2au - u 2 = 2 2au - u 2 a(1 - 2n)u n + n - 1 (2n - 1)a L du u n - 1 2 2au - u 2 L 2 2au - u 2 u n du = (2au - u 2 ) 3/2 (3 - 2n)au n + n - 3 (2n - 3)a L 2 2au - u 2 u n - 1 du L 2 2au - u 2 u du = 2 2au - u 2 + a sen -1 u - a a + C L u n du 2 2au - ug 2 = - u n - 1 n 2 2au - u 2 + (2n - 1)a n L u n - 1 du 2 2au - u 2 L u n 2 2au - u 2 du = - u n - 1 (2au - u 2 ) 3/2 n + 2 + (2n + 1)a n + 2 L u n - 1 2 2au - u 2 du L du u 2 2au - u 2 = sen -1 u - a a + C L 2...