Flashcards

integrales por partes

Perla Collazo Spanish 10 cards

Cards in this deck (10)

1∫2x.cosx.dx=2∫x.cosx.dx
f'=cos x.dx f=sen x
g=x g'=1dx
=2.[x.sen x- ∫sen x.dx]
=2.[x.sen x-(-cosx)]
=2x.sen x+2.cos x+c
2∫x^3.ln x.dxf'=x^3^dx f=x^4 /4
g=ln x g'= 1/x dx
=x^4 /4.ln x-1/4∫x^3dx
=x^4 /4.ln x-1/4 x^4 /4
=x^4 /4.ln x- x^4/16+c
3∫x^2lnxu=x^2 u'= x^3/3
v'=1/xdx v= lnx
x^3/3.lnxdx-∫x^3/3.ln1/x dx
x^3/3.lnxdx-1/3-∫x^3/3dx
x^3/3.lnxdx-1/3-∫x^2dx
x^3.lnxdx- (1/3)(x^3/3)
x^3/3.lnx dx- x^3/9+c
4∫x^2cosx dx2∫x^cosx dx
u=cosx u'=senx
v'=dx v=x
2∫xcos dx= ∫senx dx
senx dx- cosx +c
5∫x/cos^2xu=x u'=1
v'=1/cos^2x v=tgx
∫x/cos^2x dx= xtgx-tgx dx=xtgx+senx/cosx
xtgx+ln(cosx)+c
6∫x cosx dxu=x u´=1
v'=cosx v= sen x
∫x cos x=x sen x - ∫sen x dx
x sen x+ cos x+ c
7∫ln(x)dxf=x f'=lnx
g'= 1 g=1/x
∫x.1/x= x/1.1/x -∫xlnx
1/x^2+x ln (x)+c
8∫x cos x dxu= x u'=1
v' =cosx v = sen x
∫x cosx=x senx=-∫senx dx
x senx+cos x+c
9∫sen x ln(cos x ) dxu=ln (cos x) u'=- senx/cosx
v'= sen x v=- cosx
∫senx ln(cosx) dx=-cosx ln(cosx)-∫sen x
-cos x ln (cos x)+cos x + c
10—

Description: Flashcards on integrales por partes , created by Perla Collazo on 20/09/2018.
Created by: Perla Collazo
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