formulas-derivadas-e-integrales.pdf

BEBIIUMIIZACláN D I * M A T E M A T I C A S * f .SICA * QUIMICA Formulario de c = constante.

dx

ás.,

dv_

Cony=y(v)

dv dx

v-v(x)

-(sen

v) =

dx

f"

dx

— (cv) = dx

d x

d x

c ^ d x

n

) - n x

v

v

v) = - s e n « > « « '

d , , — ctg dx

2 v ) - - c * c *

— (sec dx

v) = s e c

—(esc dx

v ) = - c s c

dx

)

v

c

=

dv = a fdv

dv V

i dx = x

dx v — d x

v e t o

,-dv — = Ln

jsen

v v

v

e o s v )=

,9

I sec

v.tg v v.ctg

jtg v) = - f c = i H i v v d x

I „ . l o g e d u - l o g u =-^í . — x u d x I , . d v -(a )= a Ln.a — x ' d x | - y, dV v

v

—(are

dv = L n s e n

v

dv = Ln

jese

V

dv

V - a

,d dx

'

CONAMAT

C O t f G O N A C I O N A t OC M A T I M A T K A S

a

dv

'

a -v 2

2

.¿Ln

2a

sen

2

+ eos

esc

1

e - ctfl

tg e

e

sec

2

e - tg

6=1

2

1

1

9=1 9= 1

v+c

v+ c

(sec.v + tg.v) + c

sen

e eos P = - [ s e n

(e-p)+sen

tg- + c a

sen

e sen p = i | c o s

(e-p)-cos

(9+P)]

eos

e e o s p = -^[cos

(e-p)+cos

(e + |i)]

a+v

a-v

1 - e o s e = 2sen

2

+c 1+cos e=2cos

2

- 6 2 - e

2 dy

sen

v +c = Ln

.-Luí t i t o v+a 2a

2

t

o i

(e p)] +

= L n (csc.v-ctg.v) +c

1 = -arc

r dV

d x

=-Ln eos

v

dv

ctg

dv = s e c v + c

v dv=-csc

ísec

!

sen 8

1

v + c

[ctg

V+a*

w

x

s e c v )=

dv

v

a

eos e

v+c

dv=-ctg

[esc

„

J

Trigonométricas

v+c

dv =

c dx

iL(arc

,

dv =sen

2

sec-+c

a

I d e n t i d a d e s

dv=-cos

(v+i/v ±a ) +

í

1 -are

c = Ln c v

J e ' d v = e "+ c

| se: —(are

v +Ln

sen- + c

v ±a dv=^ /v ±a ±^-Ln I

dv

v +c = Ln

- v ' + — are

J

1

, n < - 1

a'dv = — — + c Ln a

feos

270

(

c

2

vVv' - a '

"•J" - d x dx

-
+c

n+1

— dx

c

(v + v V i a ^ + c

rdv =-Va

.diS.=AÍÍÍ c du

Inmediatas.

sen— +

= Ln

,

d v v — d x v ta v

- = arc

a =cte.

v -

dv

du

-l(ü

J(du +dv - d w ) = J d u + j d v - j d w

+

d , ki • i dv — (v ) = n v — d x ' d x du d v dx

— (eos dx - < t g

d , . d v d u — {uv) = u — + v — dx d x d x — ( x dx

Formulario d e Integrales

Derivadas. dy__dy

.1