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∫(x+4)/9x2+6x+1 Proszę o POmoc
| x+4 | 1 | 1 | ||||
= ∫ | + 6x + 1 dx = ∫ | dx + ∫ | dx + ∫ 6x dx + ∫ 1 dx = | |||
| 9x2 | 9x | 9x2 |
| 1 | 1 | |||
= | ln|x| − | + 3x2 + x + C | ||
| 9 | 9x |
∫(x+4)/(9x2+6x+1)
| x + 4 | 1 | 3x + 12 | ||||
∫ | dx = | ∫ | dx = | |||
| (3x+1)2 | 3 | (3x + 1)2 |
| 1 | 3x + 1 | 1 | 11 | |||||
= | ∫ | dx + | ∫ | dx = | ||||
| 3 | (3x+1)2 | 3 | (3x+1)2 |
| 1 | 11 | |||
= | (ln|3x + 1| − | ) + C | ||
| 9 | 3x + 1 |