| x | ||
∫ | xd | |
| x2 + 2x + 5 |
| x | ||
∫ | dx= | |
| (x+1)2+4 |
| 2t−1 | ||
=2∫ | dt= | |
| 4t2+4 |
| 1 | 2t−1 | 1 | 2t | 1 | ||||||
= | ∫ | dt= | [∫ | −∫ | ]dt= | |||||
| 2 | t2+1 | 2 | t2+1 | t2+1 |
| 1 | 1 | |||
= | ln|t2+1|− | arctgt== | ||
| 2 | 2 |
| 1 | 1 | x+1 | ||||
= | ln|x2+2x+5|− | arct | +C | |||
| 2 | 2 | 2 |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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