Page 36 - apuntes-cc3a1lculo-integral-2023-1

Cálculo Integral 2023-2 Ingeniería Química

8
7

 ln x x dx  x ln x x 8  c
64
8
8
8x ln x  x 8
7
 ln x x dx  64  c

x 8ln x 1
8

 ln x x dx  64  c
7

Integrar:  x cos xdx

u  x > du  1 > du  dx
dx


dv  cos xdx ------------------------- > dv  cos xdx -------------------------- > v  senx


 udv  uv  vdu


 x cos xdx  xsenx  senxdx


 x cos xdx  xsenx  cos x  c

 x cos xdx  xsenx  cos x  c

2
Integrar:  x sec xdx

u  x > du  1 > du  dx

dx



2
dv  sec xdx ----------------------- > dv  sec xdx ---------------- > v  tan x
2
 udv  uv  vdu


36
Julio Meléndez Pulido