| 3x | ||
1. ∫ | dx | |
| √1+x2 |
| x4−1 | ||
2. ∫ | dx | |
| x+1 |
| dx | ||
3. ∫ | dx | |
| sin2xcos2x |
| 3 | dt | 3 | 3 | |||||
∫ .... = | ∫ | = | ∫t−0.5dt = | *2√t = 3√1+x2 + C
| ||||
| 2 | √t | 2 | 2 |
| (x+1)(x−1)(x2+1) | ||
b) = ∫ | dx = ∫(x−1)(x2+1)dx ...
| |
| (x+1) |
| sin2x + cos2x | 1 | 1 | ||||
c) = ∫ | dx = ∫ | dx + ∫ | dx =
| |||
| sinx2xcos2x | cos2x | sin2x |