| sin4x | ||
1) ∫ | dx | |
| cos6x |
| 1 | ||
2) ∫ | dx | |
| x3+1 |
| x4 | ||
4) ∫ | dx | |
| x2+1 |
| sin4x | sin4x | 1 | 1 | |||||
∫ | dx = ∫ | * | dx = ∫tg4x* | dx = ... | ||||
| cos6x | cos4x | cos2x | cos2x |
| 1 | ||
1) ∫tg4(x)* | dx= | |
| cos2(x) |
| 1 | ||
[tg(x)=t, | dx=dt] | |
| cos2(x) |
| 1 | 1 | |||
=∫t4dt= | t5= | tg5(x)+C | ||
| 5 | 5 |
| 1 | 1 | A | Bx+C | ||||
= | = | + | |||||
| x3+1 | (x+1)*(x2−x+1 | x+1 | x2−x+1 |