Nie wiem co mam zrobić, narazie wymyśliłam tylko tyle..
| dx | dx | |||
∫ | = ∫ | = | ||
| 2x−3x2 | (2−3x)x |
| 1 | A | B | |||
= | + | ||||
| (2−3x)x | x | 2−3x |
| 1 | A(2−3x)+Bx | ||
= | |||
| (2−3x)x | x(2−3x) |
| 1 | ||
A= | ||
| 2 |
| 3 | ||
B= | ||
| 2 |
| 1 | 1 | 3 | |||
= | + | ||||
| (2−3x)x | 2x | 4−6x |
czyli dalej powinnam zrobić coś takiego, tak?
| 1 | 1 | 3 | 1 | 1 | dx | 3 | dx | |||||||||
= ∫( | * | + | * | ) dx = | ∫ | + | ∫ | = | ||||||||
| 2 | x | 2 | 2−3x | 2 | x | 2 | 2−3x |
| 1 | 3 | |||
ln|x| + | ln|2−3x| +c ? | |||
| 2 | 2 |
| 1 | ||
zle. | ln|2−3x| +c | |
| 2 |