Matemáticas aplicadas

x2
1
2
11. dx (ax b) 2 a 3 ax b 2b ln⏐ax b⏐ ax
b b
12. x(ax
1
b)
x
ax b
dx 1 b ln (b 0)
1
1 a
13. dx
x2 (ax b) b x b
1 1
14. dx x(ax
1 b) 2 b(ax b) b
ax b
x
2 ln (b 0)
ax b
x
2 ln (b 0)
1
1
15. dx (ax b) (cx d) bc
x
1
16. dx (ax b) (cx d) bc
ln (bc ad 0)
ad
b a ln ⏐ax b⏐ d c ln ⏐cx d⏐
ad
cx d
ax b
(bc ad 0)
1
1
17. (ax b) 2
dx (cx d) bc ad
1 c
ln ax b bc ad
cx d
ax b
(bc ad 0)
x
1
18. (ax b) 2
dx (cx d) bc ad
b d
ln a(ax b) bc ad
cx d
ax b
(bc ad 0)
Integrales que contienen ax b
2
19. xax b dx a 2 (ax b)
5/2
b(ax b)
3/2
5
3
2
20. x 2 ax b dx a 3 (ax b)
7/2
2b(ax b)
5/2
b2 (ax b)
3/2
7
5
3
x
21. dx 2ax 4b
3a 2 ax b
ax b
1
xax b
1
b
ax b b
ax b b
22. dx ln (b 0)
1
1 ax b (2n 3)a 1
x
n1
xn ax b b(n 1)
(2n 2)b x
n1
ax b
ax b
1
x xax b
23. dx dx
24. dx 2ax b b dx (véase 22)
(n 1)
ax b ax b
25. dx a 1
dx (véase 22)
x
2
x 2 xax b
APÉNDICE II TABLA DE INTEGRALES 775