Formularisimo Calculo Integral

Integrales

Derivadas

cotu =-csc2uu
secu =secutanuu
cscu =-cscucotuu

senu = cosu u
cosu =-senu u
tanu = sec2uuIntegrales
∫senu du= -cos u + c
∫cosu du= sen u + c
∫tanu du= ln|sec u|+c

sen2u+cos2u = 1
sec2u -tan 2u = 1
csc2u -cot2u = 1

tanu =senu
cosu
cotu =cosu
senu

Senu =_ 1_
cscu
cosu =_ 1_
secu
tanu=_ 1_
cotu
cotu =_ 1_
tanu
secu =_ 1_
cosu
cscu =_ 1_
senu

∫cotu du=ln|senu|+c
∫secudu=ln|secu + tanu| +c
∫cscu du=ln|cscu - cotu| +c
Identidades Trigonométricas

∫sec2du= tanu +c
∫csc2du= -cotu +c
∫secutanu du=secu +c
∫cscucotu du=-cscu +c
Derivadas

(u + v – w) = u +v - w
c = 0
c . u = c u
x = 1
xn = n . xn-1
un= n . un-1 u
u . v =u v + v

a3+b3=(a+b)(a2-ab+b2)
u = v u - uv
v v2
lnu = u
u
eu = eu ua3-b3= (a-b)(a2+ab+b2)
(a+b)3=a3+ 3a2b+3ab2-b3
(a -b)3=a3- 3a2b+3ab2-b3
(a+b)2=a2+2ab-b2
(a -b)2=a2-2ab-b2
Integrales

∫(du +dv – dw) = ∫du + ∫dv - ∫dw
∫c du = c∫du
∫dx = x + c
∫un du = un+1 +c
n+1
(a+b)(a-b)= a2-b2
∫du= ln |x| +c
u

∫eu du = eu + c
(x+a)(x+b)= x2 + (a+b)x +ab
Logaritmos naturales
Ln a.b = ln a + ln b
Ln a/b = ln a – ln b
Ln a.b = b ln a

ln