| 1 | 1 | |||
∫ | =∫ | = wiem ze to bedzie jakis arctg ale nie wiem co z tym dalej | ||
| t2+t+1 | (t+1/2)2+7/4 |
| √7 | ||
Podstaw (t + 1/2) = | u | |
| 2 |
| √3 | 4 | 1 | 2√3 | 2t+1 | ||||
∫ | du= | arctg | +c | |||||
| 2 | 3 | u2+1 | 3 | √3 |
| √7/2 | 2 | 1 | ||||
∫ | = | ∫ | = | |||
| ({√7u/2})2+7/4 | √7 | (2/√7u)2 + 7/4 |
| 2 | 2t+1 | |||
arctg | ||||
| √7 | √7 |
| 1 | √3 | |||
t + | = | u | ||
| 2 | 2 |