| x | ||
∫ | dx | |
| cos2x |
| 1 | ||
dv = | dx , v = tgx | |
| cos2x |
| 1 | ||
Jeżeli nie znamy funkcji pierwotnej do | to | |
| cos2x |
| 1 | cos2(x)+sin2(x) | |||
∫ | dx = ∫ | dx | ||
| cos2(x) | cos2(x) |
| 1 | sin(x) | |||
∫ | dx = ∫dx +∫sin(x)* | dx | ||
| cos2(x) | cos2(x) |
| 1 | sin(x) | cos(x) | ||||
∫ | dx = ∫dx + | − ∫ | dx | |||
| cos2(x) | cos(x) | cos(x) |
| 1 | sin(x) | |||
∫ | dx = ∫dx + | − ∫dx | ||
| cos2(x) | cos(x) |
| 1 | sin(x) | |||
∫ | dx = | + C | ||
| cos2(x) | cos(x) |
| 1 | ||
∫ | dx = tg(x) + C | |
| cos2(x) |