| 1 | x3 | 1 | 1 | |||||
∫ x3 ln(2x) dx = | ln(2x) −−> | x2 −−> | | = | x3 ln(2x) − ∫ | * | ||||
| x | 3 | 3 | 2x |
| x3 | 1 | 1 | 1 | 1 | 1 | |||||||
dx = | x3 ln(2x) − | ∫ | * x3 dx= | x3 ln(2x) − | ||||||||
| 3 | 3 | 6 | x | 3 | 6 |
| x3 | 1 | |||
+C = | x3 ln(2x) − {1}{18} x3 +C | |||
| 3 | 3 |
| 1 | ||
u'= | ||
| x |
| x4 | ||
v= | ||
| 4 |
| 1 | x3 | 1 | x4 | |||||
. = | x4ln(2x) − ∫ | dx = | x4ln(2x) − | + C | ||||
| 4 | 4 | 4 | 16 |