Formulario Calculo Integral Extraordinario_titulo16a
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FORMULARIO DE CÁLCULO INTEGRAL SEMESTRAL, EXTRAORDINARIO Y TITULO DIFERENCIALES: ALGEBRAICAS 1. ( ) 0 c d = 2. ( ) dx x d = 3. ( ) d dv du w v u d − + = − + 4. ( ) dv c v c d = 5. ( ) du v dv u v u d + = 6. dv v m v d 1 m m − = 7. ( ) dx v n x d 1 n n − = 8. 2 v dv u du v v u d − = 9. c du c u d = 10. ( ) v 2 dv v d = EXPONENCIALES 11. ( ) dv a a a d v v ln = 12. dv e e d v v = LOGARÍTMICAS 13. ( ) e Log v dv v Log d = 14. ( ) v dv v Ln d = TRIGONOMÉTRICAS DIRECTAS 15. ( ) dv v Cos v Sen d = 16. ( ) dv v Sen v Cos d − = 17. ( ) dv v Sec v Tan d 2 = 18. ( ) dv v Csc v Cot d 2 − = 19. ( ) d v Ta n v Sec v Sec d = 20. ( ) v Cot v Csc v Csc d − = INTEGRALES: ( ) [ ] ( ) C x f dx x f dx d + = ∫ = ( ) ∫ + = C x f dx x f ) ( ' ALGEBRAICAS 1. C x dx + = ∫ 2. ( ) ( ) [ ] ( ) ( ) dx x g dx x f dx x g x f ∫ ∫ ∫ + = + 3. ( ) ( ) dx x f a dx x f a ∫ ∫ = ! " # $%&'("&() 4. 1 m C 1 m v dv v 1 m m − ≠ + + = + ∫ ; 5. C v Ln v dv + = ∫ TRIGONOMÉTRICAS DIRECTAS 8. C v Cos dv v Sen + − = ∫ 9. C v Sen dv v Cos + = ∫ 10. C v Cos Ln C v Sec Ln dv v Ta n + − = + = ∫ 11. C v Sen Ln dv v Cot + = ∫ 12. v Tan v Sec Ln dv v Sec + = ∫ 13. v Cot v Csc Ln dv v Csc − = ∫ 14. C v Ta n dv v Sec 2 + = ∫ 15. C v Cot dv v Csc 2 + − = ∫ 16. C v Sec dv v Ta n v Sec + = ∫ 17. C v Csc dv v Cot v Csc + − = ∫ TRIGONOMÉTRICAS IN*ERSAS + LOGARÍTMICAS. 18. C a v sen arc v a dv 2 2 + = − ∫ 19. C a v arc a 1 v a dv 2 2 + = + ∫ tan 20. C a v arc a 1 a v v dv 2 2 + = − ∫ sec 21. ∫ + + − = − C a v a v Ln a 2 1 a v dv 2 2 22. ∫ + − + = − C v a v a Ln a 2 1 v a dv 2 2 23. C a v v Ln a v dv 2 2 2 2 + + + = + ∫ 24. C a v v Ln a v dv 2 2 2 2 + − + = − ∫ EXPONENCIALES 6. a 0 a C a Ln a dv a v v > + = ∫ , ; 7. C e dv e v v + = ∫ 25. C a v sen arc a 2 1 v a v 2 1 dv v a 2 2 2 2 2 + + − = − ∫ 26. C a v v Ln a 2 1 a v v 2 1 dv a v 2 2 2 2 2 2 2 + + + + + = + ∫ 27. C a v v Ln a 2 1 a v v 2 1 dv a v 2 2 2 2 2 2 2 + − + − − = − ∫ IDENTIDADES TRIGONOMÉTRICAS: 1. 1 Cos Sen 2 2 = α + α 2. α = α + 2 2 Sec Tan 1 3. α = α + 2 2 Csc Cot 1 4. α α = α Cos Sen Ta n 7. 1 Sec Cos = α α 8. 1 Cot Ta n = α α 9. ( ) α − = α 2 Cos 1 2 1 Sen 2 10. ( ) α + = α 2 Cos 1 2 1 Cos 2 11. ( ) ( ) [ ] β + α + β − α = β α Sen Sen 2 1 Cos Sen 12. ( ) ( ) [ ] β + α − β − α = β α Cos Cos 2 1 Sen Sen 13. ( ) ( ) [ ] β + α + β − α = β α Cos Cos 2 1 Cos Co s ACA!"#A ! CALC%L& #'T!()AL C#CL& 1*+ A 1
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