Ecuaciones De Calculo

1. xe-6xdx= xe-6xdx=uv-udu 1/6e-6x dx=12
u=x du=e-6xdx ewdw-6=1y e6dx
du=c-6xdx u=du=e-6xu=x u=16 e-6x
du=ydx dx=uv-s udu=x -12 e-6x- 5-12 e-6xdx
sxe-2x dw-6=dx
s-12e-6xdx
w=-6x
dw=-6dx

2.sec3xdx= du=uv-su du 3sec2tan3xdx csc v xdx
u=sec3 u=3sec2 u=6sen 6sen dx=uv-du
du=3cscdx du= cscdx du=6dx6uvx-5-tangx (6dx)
du=sen3xdx du= tan3dx ud=sen xdx 6tanx-6 tanxdx
u=du=sec2xdx u=du= tanx3dx u=6du-sen xdx 6tanx-6 sen xdx
u=tan3xu=secx5 u=-tang x

3sec2-tan3 xdv=uv- udo c (x)
sec3 xdx=uv-udo 3sec2 (sen x3) 3 se n2tanxdx
sen x3 6 sen dx(b)3sen2senx36sen
sec3-tan3x-5-tang x(5sec2dx) e6 tanx-6senx
sec3tanx+s3sec2+tan3xdx3sen2senx2+6 (sen x)
2sec3xdx= -sen3tan3x+sen2tan 3xdx
sen3tan 3+ 3 sen2senx3+6tan-6senx+c

3. x2e3xdx=
x2e3xdx=x2e3xdx=w-vdu=x-13e3x-5-15e5xdxΔ
12e3xdx-13e5xdx=13ewdv5=16endw13ex3xdx=16ewdw=16ew+c+e16e3x+c+e
x2e3xdx=uv-udv=x213ex-13e3xdx-13y2e3x-16e3x+c+e
x2e3xdx=-14x2e3x-13e3x+c+e
-13x2-16e3x+c+e=-3x+216e3x+c+e=3x2+13+c+e

4. x2lnxdx=
u=lnxx2lnxdxlnxx53x53.dxxx3lnx-13xxdx
dv=dxx x3lnxln-1lnx3ln+c+e
u=dv=x2dx
u=x33

5. sen2tdt=
sen2+de=uv-vdu u=sen2
-cos2tt22-t22dtt du=tde-cos2tt22-t22dt= dv=sen2
-cos2tt22-12t22+c+e du=dtt
t22-cos2t-12t22+c+e du=tdt
t22-cos2t-t22+c+e u=du=tdt
v=t22
6. xsen2xdx=...