| xdx | ||
Proszę o pomoc w obliczeniu całki oznaczonej od 3 do +∞ ∫ | . Na | |
| x3 − x2 − 4x + 4 |
| x | 1 | 1 | 1 | ||||
= | ( | + | ) | ||||
| (x2−4)(x−1) | 2(x−1) | x−2 | x+2 |
| 1 | 1 | 1 | 1 | 1 | 1 | |||||||
= | − | − | ||||||||||
| 2 | x−2 | 3 | x−1 | 6 | x+2 |
| 1 | 1 | 1 | ||||
funkcja pierwotna = | ln (x−2) − | ln(x−1) − | ln(x+2} | |||
| 2 | 3 | 6 |
| 1 | (x−2)3 | |||
= | ln | →0, x→∞ | ||
| 6 | (x−1)2(x+2) |