Programacion

FORMULARIO DE DERIVADAS E INTEGRALES.
DERIVADAS.
PROPIEDADES GENERALES.
1. d(fx±gx)dx=df(x)dx±dg(x)dx

2. d[fxgx]dx=fxdgxdx+g(x)df(x)dx

3. ddxf(x)g(x)=gxdfxdx-f(x)dg(x)dx(gx)24. df(ux)dx=df(u(x))du(x)du(x)dx

FÓRMULAS.
1. dcdx=0,c=cte.

2. dxdx=1

3. dxndx=nxn-1,n∈R

4. d[ux]ndx=n[ux]n-1du(x)dx,n∈R

5. deu(x)dx=eu(x)du(x)dx

6.dau(x)dx=lna au(x)du(x)dx,a∈R+

7. duxvxdx=vxuxvx-1 +vxlnux[ux]v(x)

8. dln[ux]dx=1u(x)du(x)dx

9. dlog[ux]dx=logeu(x)du(x)dx

10. dsen[ux]dx=cos⁡[ux]du(x)dx

11.dcos[ux]dx=-sen[ux]du(x)dx

12. dsen[ux]dx=cos⁡[ux]du(x)dx

13. dtan[ux]dx=sec2[ux]du(x)dx

14. dcot[ux]dx=-csc2[ux]du(x)dx

15. dsec[ux]dx=sec[ux]tan⁡[ux]du(x)dx

16.dcsc[ux]dx=-csc[ux]cot⁡[ux]du(x)dx

17. dsen-1[ux]dx=11-[ux]2du(x)dx

18. dcos-1[ux]dx=-11-[ux]2du(x)dx

19. dtan-1[ux]dx=11+[ux]2du(x)dx

20. dcot-1[ux]dx=-11+[ux]2du(x)dx

21.dsec-1[ux]dx=1u(x)[ux]2-1du(x)dx

22. dcsc-1[ux]dx=-1u(x)[ux]2-1du(x)dx

INTEGRALES.
PROPIEDADES GENERALES.
1. cfxdx=cfxdx, c=cte.

2. fx±gxdx=fxdx±gxdx

FÓRMULAS.
1. dx=x+c

2.xndx=xn+1n+1+c, n∈R,n≠-1

3. uxndux=[ux]n+1n+1+c,n∈R,n≠-1

4. euxdux=eux+c

5. duxux=lnux+c

6. sen[ux]dux=-cos⁡[ux]+x

7. cosuxdu(x)=senux+c

8. tanuxdux=lnsec⁡[ux]+c

9.cotuxdux=lnsen[u(x])+c

10. secuxdux=lnsecux+tan⁡[ux]+c

11. cscuxdu(x)=lncscux-cot⁡[ux]+c

12. sec2uxdux=tanux+c

13. csc2uxdux=-cotux+c

14. du(x)a2-[ux]2=sen-1uxa+c, a∈R,a≠015. du(x)a2+[ux]2=1atan-1uxa+c, , a∈R,a≠0

16. duxuxux2-a2=1asec-1uxa+ca∈R,a≠0,
FÓRMULA DE INTEGRACIÓN POR PARTES.
udv=uv-vdu

IDENTIDADES TRIGONOMÉTRICAS.

1. cos2x+sen2x=12. 1+tan2x=sec2x

3. cot2x+1=csc2x

4. sen2x=2senxcosx

5. cos2x=cos2x-sen2x

6. cos2x=1+cos2x2

7. sen2x=1-cos2x2

8. cosa cosb=cosa+b+cos⁡(a-b)2

9. sena...