Formulario integrales y derivadas DOCX

Title	Formulario integrales y derivadas
Author	Alejandro Méndez
Pages	2
File Size	24.4 KB
File Type	DOCX
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Summary

𝑭ó𝒓𝒎𝒖𝒍𝒂𝒔 𝒅𝒆 𝑰𝒏𝒕𝒆𝒈𝒓𝒂𝒄𝒊ó𝒏 𝑭ó𝒓𝒎𝒖𝒍𝒂𝒔 𝒅𝒆 𝑫𝒆𝒓𝒊𝒗𝒂𝒄𝒊ó𝒏 𝑰𝒅𝒆𝒏𝒕𝒊𝒅𝒂𝒅𝒆𝒔 𝑻𝒓𝒊𝒈𝒐𝒏𝒐𝒎é𝒕𝒓𝒊𝒄𝒂𝒔 𝑥 𝑛+1 𝑰𝒅𝒆𝒏𝒕𝒊𝒅𝒂𝒅𝒆𝒔 𝑭𝒖𝒏𝒅𝒂𝒎𝒆𝒏𝒕𝒂𝒍𝒆𝒔 0. ∫ 𝑥 𝑛 𝑑𝑥 = +𝑘 𝑑 𝑛 𝑑 𝑛+1 𝑢 = 𝑛(𝑢𝑛−1 ) (𝑢) 1 1 𝑑𝑥 𝑑𝑥 𝑐𝑠𝑐(𝑥) = sec(𝑥) = 𝑠𝑒𝑛(𝑥) cos(𝑥) 1. ∫ 𝑎 𝑑𝑥 = 𝑎𝑥 + 𝑘 𝑑 𝑑 𝑑 𝑠𝑒𝑛(𝑥) 1 (𝑢𝑣) = 𝑢 (𝑣) + 𝑣 (𝑢) tan(𝑥) = cot(𝑥) = 𝑑𝑥 𝑑𝑥 𝑑𝑥 cos(𝑥) tan(𝑥) 2. ∫ 𝑎 𝑢 𝑑𝑥...

Description

Fórmulasde Integración 0. x n dx= x n+1 n+1 +k 1. adx=ax+k 2. audx=a udx 3. u´ u n dx= u n+1 n+1 +k paran 1 4. u´ u dx=ln (u)+k 5. (u+v w)dx= udx+ vdx w dx 6. u´ e u dx=e u +k 7. u´ a u dx= a u ln a +k 8. u´ sin (u)dx= cos(u)+k 9. u´ cos(u)dx=sin(u)+k 10. u´ tan (u)dx= ln (cos (u))+k 11. u´ cot (u)dx=ln (sin (u))+k 12. u´ sec (u)dx=ln (sec(u)+tan (u))+k 13. u´ csc(u)dx=ln (csc (u) cot (u))+k 14. u´ sec 2 (u)dx=¿tan (u)+k ¿ 15. u´ csc 2 (u)dx= cot (u)+k 16. u´ sec (u)tan (u)dx=sec (u)+k 17. u´ csc(u)cot (u)dx= csc(u)+k 18. u´ u2 +a2 dx= 1 a arctan(u a )+k 19. u´ u2 a2 dx= 1 2a ln(u a u+a )+k 20. u´ a2 u2 dx= 1 a ln(a+u a u )+k 21. u´ a 2 u 2 dx=arcsin(u a )+k 22. u´ u 2 +a 2 dx=ln (u+ u 2 +a 2 )+k 23. u´ u 2 a 2 dx=ln(u+ u 2 a 2 )+k 24. u´ u u 2 a 2 dx= 1 a arcsec(u a)+k 25. u´ u u 2 +a 2 dx= 1 a ln(a+ u 2 +a 2 u )+k 26. u´ u a 2 u 2 dx= 1 a ln(a+ a 2 u 2 u )+k 27. u´ a 2 u 2 dx= u 2 a 2 u 2 + a 2 2 arcsin(u a)+k 28. u´ u 2 ±a 2 dx= u 2 u 2 ±a 2 ± a 2 2 ln (u+ u 2 ±a 2 )+k Fórmulasde Derivación d dx u n =n(u n 1 ) d dx (u) d dx (uv)=u d dx (v)+v d dx (u) d dx (u v )= v d dx (u) u d dx (v) v 2 d dx (senu)=cosu d dx (u) d dx ¿ d dx ¿ d dx (ctg u)=csc 2 u d dx (u) d dx (sec u)=sec utan u d dx (u) d dx (csc u)= cscu ctgu d dx (u) d dx (arc Senu)= 1 1 u 2 d dx (u) d dx (arccosu)= 1 1 u 2 d dx (u) d dx (arc tanu)= 1 1+u 2 d dx (u) d dx (arcctg u)= 1 1+u 2 d dx (u) d dx (arc Secu)= 1 u u 2 1 d dx (u) d dx (arcCscu)= 1 u u 2 1 d dx (u) d dx (ln u)= 1 u d dx (u) d dx (a u )=a u ln a d dx (u) d dx (log u)= loge u d dx (u) d dx (e u )=e u d dx (u) d dx (u v )=v u v 1 d dx (u)+(ln u)(u v ) d dx (v) CompetarTrinomi o 2 Perfecto x 2 +bx+c=(x+ b 2 ) 2 +(c b 2 4 ) IdentidadesTrigonométricas Identidades Fundamentales csc (x)= 1 sen(x) sec (x)= 1 cos (x) tan(x)= sen(x) cos (x) cot (x)= 1 tan (x) Delteorema de Pitágoras sen 2 (x)+cos 2 (x)=1 1+tan 2 (x)=sec 2 (x) 1+cot 2 (x)=csc 2 (x) Sumas y restas deángulos sen(x+ y )=sen (x)cos( y)+cos (x)sen( y) sen(x y)=sen(x)cos ( y) cos(x)sen( y cos(x+ y)=cos(x)cos ( y) sen (x)sen( y cos(x y)=cos(x)cos( y)+sen (x)sen( y tan(x+ y)= tan (x)+tan( y) (1 tan(x)tan ( y)) tan(x y)= tan (x) tan ( y) (1+tan(x)tan ( y))...