| x2 sinx | ||
∫ | dx | |
| cos3 x |
| sinx |
| −dt | 1 | 1 | ||||||||||||
∫ | dx = | = ∫ | = | + c = | + c. | |||||||||||
| cos3x | t3 | 2t2 | 2cos2x |
| x2sinx | 1 | 1 | ||||
∫ | dx = x2* | − ∫2x* | dx = | |||
| cos3x | 2cos2x | 2cos2x |
| x2 | 1 | x2 | ||||
= | − ∫x* | dx = | − (xtgx − ∫tgxdx) = | |||
| 2cos2x | cos2x | 2cos2x |
| x2 | ||
= | − xtgx − ln|cosx| + c. | |
| 2cos2x |
