Fórmulas básicas de integración - Cálculo II (MM-202)
1. Zk dx =kx +C2. Zxndx =xn+1
n+ 1 +C, n =−1
3. Zdx
xdx = ln |x|+C4. Zexdx =ex+C
5. Zaxdx =ax
ln a+C,a > 0∧a= 1 6. Zsen x dx =−cos x+C
7. Zcos x dx = sen x+C8. Zsec2x dx = tan x+C
9. Zcsc2x dx =−cot x+C10. Zsec xtan x dx = sec x+C
11. Zcsc xcot dx =−csc x+C12. Ztan x dx = ln |sec x|+C
13. Zcot x dx = ln |sen x|+C14. Zcsc x dx = ln |csc x−cot x|+C
15. Zsec x dx = ln |sec x+ tan x|+C16. Zsenh x dx = cosh x+C
17. Zcosh x dx = senh x+C18. Zdx
√a2−x2= sen−1x
a+C
19. Zdx
a2+x2=1
atan−1x
a+C20. Zdx
x√x2−a2dx =1
asec−1
x
a
+C
21. Zdx
√a2+x2= ln
x+pa2+x2
+C
= senh−1x
a+C,a > 0
22. Zdx
√x2−a2= ln
x+px2−a2
+C
= cosh−1x
a+C,a > 0
23. Zdx
x2−a2=1
2aln
x−a
x+a
+C,a > 024. Zf(ax +b)dx =1
aZf(u)du,
con u=ax +b∧a= 0
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