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La educación tiene la misión de permitir, a todos sin excepción, hacer fructificar todos sus talentos y todas sus capacida...
Fórmulas de integración 
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Formulario

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Formulario de matemáticas, incluye cálculo diferencial e integral, álgebra, identidades trigonométricas, geometría, calculus, geometry, trigonometry, diferential, integral, optimization

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Formulario

  1. 1. La educación tiene la misión de permitir, a todos sin excepción, hacer fructificar todos sus talentos y todas sus capacidades de creación. Lo que implica que cada uno pueda responsabilizarse de sí mismo y realizar su proyecto personal. Jaques Delors.         0 1, 0 1 , 0 | n n m m n m n m n n n n n n n n m m n n n m mn a a a a a a a a a a a ab a b a a b b a a a a a                           1/ 0 / , , n n n n n n a m n m n m n n n n m n mn a a a a a a a a a a a b b a a         Leyes de los exponentes Radicales Productos notables y factorización                   2 2 2 2 2 2 2 2 2 3 3 2 2 3 3 3 2 2 3 2 2 3 3 3 3 x y z xy xz x a x b x a b x ab x a x ax a x a x ax a x a x a x a x a x ax a x a x a x ax a x a                                                  2 2 2 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 ab ac a b c a b a b a b a ab b a b a ab b a b a b a b a ab b a b a b a ab b                          Propiedades de los logaritmos 1 log log log log log log log log log1 0 log log log 1 n n a ab a b a a n a a b b a n a a         Identidades trigonométricas         2 2 2 2 2 2 1 1 1 sen cos tan csc sec ctg sen cos tg ctg sen cos 1 cos sen 1 tan sec 1 ctg csc sen sen cos sen cos cos cos cos sen sen tan tan cot cot 1 tan cot 1 tan tan cot cot sen 2 x x x x x x x x x x x x x x x x x x a b a b b a a b a b a b a b a b a b a b a b b a a                        2 2 3 2 3 3 2 2sen cos cos2 cos sen 2 tan tan 2 sen 3 3sen 4sen 1 tan 3tan tan cos3 4cos 3cos tan 3 1 3tan 1 cos 1 cos sen cos 2 2 2 2 1 cos tan 2 1 cos a a a a a a a a a a a a a a a a a a x x x x x x x                   Fórmulas Trigonométricas 2 2 2 2 2 2 2 2 2 2 2 2 sen sen sen 2 cos 2 cos 2 cos ( )( )( ) 2 a b c a b c A B C a b c bc A b a c ac B c a b ab C a b c s A s s a s b s c                     Fórmulas de derivación           1 1 2 1 0 2 1 3 4 5 6 7 8 9 10 1 1 1 n n n n dc dx d dv cv c dx dx dx dx d du dv dw u v w dx dx dx dx d d dv x nx v nv dx dx dx du dv v u d dv du d u dx dx uv u v dx dx dx dx v v du d u dx dy dy dv dx c c dx dv dx dy dx dx dy                                                      1 2 2 1 log ln , ln log log ln ln sen cos cos sen t 12 1 g 3 14 15 16 1 sec ctg 7 18 19 20 csc 21 sec s e e v v v v v v v dv d dx dv d dv v v v v dx v v dx dx v dx d dv d dv a a a e e dx dx dx dx d du dv d dv u vu u u v v dx dx dx dx dx d dv d dv v v v v dx dx dx dx d dv d v v v dx dx dx                                       2 2 2 2 2 2 ec tg csc csc ctg vers sen sen arccos 1 1 ctg ctg 1 1 sec csc 1 1 ver 22 23 24 25 26 27 28 29 3 s 2 0 dv v v dx d dv d dv v v v v v dx dx dx dx dv dv d dxd dx arc v v dx v dvx dv dv d dx d dx ar v arc v dx v dx v dv dv d dxd dx arc v arc v dx v v dx v v dv d dx arc v dx                   2 v  v G. Edgar Mata Ortiz Formulario de matemáticas.
  2. Fórmulas de integración La educación tiene la misión de permitir, a todos sin excepción, hacer fructificar todos sus talentos y todas sus capacidades de creación. Lo que implica que cada uno pueda responsabilizarse de sí mismo y realizar su proyecto personal. Jaques Delors.   1 2 3 4 5 6 7 8 9 10 11 1 1 2 1 1 1 1 1 ln ln ln ln ln sen cos cos sen tg ln cos lnsec ctg lnsen n n n n v v v v dx x C x x dx C n du dv dw du dv dw adv a dv v v dv C n dv v C v C Cv v e dv e C a a dv C a vdv v C vdv v C vdv v C v C vdv v C                                                          3 14 15 16 17 18 2 2 sec ln sec tg csc ln csc ctg sec tg csc ctg sec tg sec csc ctg csc vdv v v C vdv v v C vdv v C vdv v C v vdv v C v vdv v C                               2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 3 4 5 6 7 2 2 2 2 2 1 tg 1 ln , 2 1 ln , 2 sen ln sen 2 2 ln 2 2 dv v arc C v a a a dv v a C cuando v a v a a v a dv a v C cuando v a a v a a v dv v arc C a v a dv v v a C v a v a v a v dv a v arc C a v a v a dv v a v v a C                                           Sustitución trigonométrica y otros artificios Integración por partes u dv  u v   vdu Algunas fórmulas de reducción         2 2 2 2 2 2 2 2 2 2 2 1 2 3 4 5 6 7 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 tg 1 ln , 2 1 ln , 2 sen ln sen 2 2 ln 2 2 dv v arc C v a a a dv v a C cuando v a v a a v a dv a v C cuando v a a v a a v dv v arc C a v a dv v v a C v a v a v a v dv a v arc C a v a v a dv v a v v a C v a                                                2 2 2 2 2 2 2 9 2 2 2 2 2 2 ln 2 2 ln 2 2 v a dv v a v v a C v a v a dv v a v v a C                Ecuaciones Diferenciales de Primer Orden ( ) ( ) ( ) ( ) ( ) ( ) ( , ) ( , ) 0 ( ) , ( ) ( ) , ( ) Ecuaciones separables Ecuaciones exactas Factores integrantes para ecuac g x dx h y iones exact dy as dy f x g y dy f x dx dx g y M N M x y dx N x y dy y x M N y x g x x e N N M x y h y y e M M Si y                                   ( ) ( ) ( , ) ( , ) ( ) ( , ) ( ) ( , ) m n P x dx Q y dy N N M m n x y x y x x y M N Si N x y P x M x y Q y y x x y e e                   [email protected] Geometría Áreas y perímetros de figuras planas. Cuadrado: A = l×l P=4×l Rectángulo: A = b×h P = 2b+2h Círculo: A = πr2 P = 2πr Triángulo: A = b×h / 2 P = a + b + c Polígono regular: A = P×a / 2 P = n × l P: Perímetro, a: apotema, n: número de lados Área del triángulo con la fórmula de Herón de Alejandría: Esta fórmula permite calcular el área de un triángulo cono-cidos tres lados, sin el dato de la altura: a, b y c son los lados del triángulo.
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