Practicas Calculo Integral

Practicas Calculo Integral
F.8 sen vdv= -cosv+c
1- sen 3x2 dx = 16 sen 3x2 6x dx = 16 -cos 3x2+c
sen = sen
v = 3x2
dv= 6x dx
2- sen x4 dx = 14 sen x4 4x3 dx = 14 -cos x4+c
sen = sen
v = x4dv= 4x3 dx
F.9 cos vdv= sen v+c
1- cos-8x dx = 18 cos-8x 8dx = 18 sen-8x+c
cos = cos
v = -8x
dv = 8dx
2- cos-4x3 dx = 112 cos 4x3 12x2dx = 112 sen4x3+c
cos = cos
v = 4x3
dv = 12x2 dx

F.10sec2 vdv= tg v+c
1- sec2 x3dx= 13 sec2 x3 3x2 dx = 13 tgx3+c
sec2 = sec2
v = x3
dv = 3x2
2- sec2 tdt= = tgt+c
sec2 = sec2
v = t
dv = dt
F.11 csc2 vdv= ctg v+c
1- csc2 7x2dx= 114 csc27x2 14x dx = 114 ctg 7x2+c
csc2= csc2
v = 7x2
dv = 14x dx
2- csc2 3x dx= 13 csc2 3x 3 dx = 13 ctg 3x+c
csc2= csc2
v =3x
dv = 3dx

F.12 sec v tg v dv=sec v+c
1- sec x4 tg x4 dx= 14 sec x4 tgx4 4x3dx = 14 sec x4+c
Tg = tg
Sec = sec
V = x4
Dv = 4x3 dx
2- sec x tg x dx= sec x + c
Tg = tg
Sec = sec
V = x
Dv = dx
F.13 csc v ctg v dv=-csc v+c
1- csc t2 ctg t2 dt= 12 csc t2 ctg t22t dt = 12 -csc t2+c
Csc = csc
Ctg = ctg
V = t2
Dv = 2t dt
2- csc 2x3 ctg 2x3 dx= 16 csc 2x3 ctg 2x3 6x2 dx = 16 -csc 2x3+c
Csc = csc ctg = ctg
V = 2x3 dv= 6x2 dx
F.14 tg v dv=in cos v+c=insec v+c
1- tg x dx=in cos x+c
Tg = tg
V = x
Dv = dx
2- tg 3t8 dt= 124 tg 3t8 24t7 dt = 124 In sec 3t8+c
Tg = tg
V = 3t8
Dv = 24t7 dt
F.15 ctg v dv=in sen v+c
1- ctg 3x3 dx= 19 ctg 3x3 9x2dx = 19 In sen 3x3+c
Ctg = ctg
V = 3x3
Dv = 9x2 dx
2- ctg ay dy= 1a ctg ay ady = 1a In sen ay+c
Ctg = ctg
V = ay
Dv = ady

F.16 sec v dv=in sec v+tg v+c
1-sec ax dx = 1a secax dx = 1a In(sec ax+tg ax)+c
Sec = sec
V = ax
Dv = adx
2-sec x2 dx = 12 secx2 2x dx = 12 In (sec x2+tg x2)+c
Sec = sec
V = x2
Dv = 2x dx
F.17 csc v dv=in csc v-ctg v+c
1-csc x4 dx = 14 cscx4 4x3dx = 14 In(csc x4-ctg x4)+c
Csc = csc
V = x4
Dv = 4x3 dx
2-csc x2 dx = 12 cscx2 2x dx = 12 In (csc x2-ctg x2)+c
Csc = csc
V = x2
Dv = 2x dx

F.18 dvv2+a2 = 1a arc tg va +c
1. dx2x2+9 = 13 arc tg...