| 1 | ||
(arctgp(x))'= | ||
| 2√x(1+x) |
| 2 | 2 | 1 | 1 | ||||
= | x√xarctan(√x)− | ∫x√x | dx | ||||
| 3 | 3 | 1+x | 2√x |
| 2 | 1 | x | ||||
= | x√xarctan(√x)− | ∫ | dx | |||
| 3 | 3 | 1+x |
| 2 | 1 | dx | ||||
= | x√xarctan(√x)− | (∫dx−∫ | ) | |||
| 3 | 3 | 1+x |
| 2 | 1 | 1 | ||||
= | x√xarctan(√x)+ | ln|1+x|− | x+C | |||
| 3 | 3 | 3 |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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