= −

1 + tg x = sec x1 + ctg x = csc xcos2x = 2senx cosxcos2x = cos x − sen x = 1 − 2sen x = 2cos x − 1= 12 − 12 22 = 21 −= 1 − = 12 − 12 2( ± ) = ±( ± ) ∓

log = g 1 = 0.434294.1

∫ = − + ∫ = +∫ = ( − 1) +∫ 1 = − ( ) +c

Identidades trigonométricascos . sec = 1 g =. csc = 1 gx =tgx. ctgx = 1 tgx =cos x + sen x = 1 tgx =

Reglas logarítmicas1 = 1 1 √ =1 1 == 1 = 11 = 1 + 1 1 = 1 − 1log 10 = 1 = 3.14159 …= 180 log 10 =

− = ( + )( − )± = ( + )( ∓ − )( ± ) = ± 2 +( ± ) = ± 3 + 3 ±( + )( + ) = + ( + ) +

=

Algebra

. = =( ) = . = 1= =( ) = √ =√ = √ ) = √√ ) = √ = √= √√ √ = √. = √ . =√ = ( ) = .Triangulo = prisma =trapecio = pirámide =circulo = 2 = paralelogramo =esfera = 4 = = = 2Cilindro circular recto= ! =

= ( − ) + ( − ) == = = −

= = + + = 0− = ( − )ℓ ℓ ⇒ = ℓ ⊥ ℓ = = −1

( − ) + ( − ) = = 4 = 4

INSTITUTO TECNOLOGICO DE HUEJUTLA

= . + 1 . .

= 1√1 − .= 1√1 − .darctg vdx = 1√1 + v . dvdxdar ctg vdx = 1√1 + .

= 1√ − 1 .= 1√ − 1 .

= . ; = 1√2 − .

Formulas de derivación= 0 = 1 == .= − = ∙

= . + ∙= . . = − ∙= . = ∙= 1 . = − ∙

= . = − ∙= . = − ∙= . − ∙= . = − ∙

af(x)dx = a f(x)dxdx = x + c(u + v + w + ) dx = udx + vdx + wdx +v dv = vn + 1 + c

dve = − 1e + cdva = − 1a 1na + cln vdv = vlnv − v + csen vdv = −cosv + ccos vdv = sen + ctan vdv = −1ncosv + c = 1nsecv + cctg vdv = 1nsenv + csec vdv = 1n(secv + tgv) + ccsc vdv = 1n(cscv − ctgv) + csec vtgv dv = secv + ccsc vctgv dv = −cscv + cudv = uv − vduf(x) dx = f(b) − f(a)

Formulas de integrales∫ adx = ax

∫ = ln v + c n = 1∫ = ( ) + c n < 1∫ = − ( ) + c n > 1∫ e dv= e + c∫ a dv = +c

√a − u u = aSenz ⇒ acosz√a + u u = atgz ⇒ asecz√u − a u = aSecz ⇒ atgzsenx = . .. COSX = . .. Tgx = ... .

sen vdv = 12 v − 14 sen2v + ccos vdv = 12 v − 14 sen2v + ctg vdv = tgv − v + csec vdv = tgv + csec vdv = 12 sec vtgv − 12 in(secv + tgv) + ccsc vdv = 12 csc vctgv + 12 in(cscv + ctgv) + cdvv = 1a arctg va + cdvv = 12 1n v − av + a + cdva = 12 1n a + va − v + cdv√a − v = arcsen va + cdva ± v = 1n v + v ± a + c

a dv = v2 a − v + a2 arcsen va + cv ∓ a dv = v2 v ± a ± a2 ln v + v ± a + c

tg udu = − tg un − 1 tg uductg udu = − ctg un − 1 ctg uduarcsen udu = u arcsen u + 1 − u + carccos udu = u arccos u − 1 − u + carctg udu = uarctg u − 1n 1 − u + carcctg udu = uarcctg u + 1n 1 + u + carcsec udu = u arcsec u − 1n u + u − 1 + carccsc udu = uarccsc u + 1n u + u − 1 + c