| 1 | ||
∫ | dx | |
| (x2+1)2 |
| 1 | ||
dx = | ds | |
| cos2s |
| 1 | (1+x2)−x2 | |||
∫ | dx=∫ | dx | ||
| (x2+1)2 | (x2+1)2 |
| 1 | x | (−2x) | |||
=∫ | dx+∫ | dx | |||
| (x2+1) | 2 | (x2+1)2 |
| 1 | 1 | x | 1 | 1 | |||||
=∫ | dx+ | − | ∫ | dx | |||||
| (x2+1) | 2 | x2+1 | 2 | x2+1 |
| 1 | x | 1 | 1 | ||||
= | + | ∫ | dx | ||||
| 2 | x2+1 | 2 | (x2+1) |
| 1 | x | 1 | |||
= | + | arctan(x)+C | |||
| 2 | x2+1 | 2 |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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