| 1 | ||
Witam, proszę o pomoc w rozwiązaniu całki ∫ | dx | |
| cosx*sinx |
Bo nie wiem właśnie...
| dx | sin2(x) + cos2(x) | |||
∫ | = ∫ | dx = | ||
| sin(x)cos(x) | sin(x)cos(x) |
| sin(x) | cos(x) | |||
∫ | dx + ∫ | dx = | ||
| cos(x) | sin(x) |
| (−cos(x))' | (sin(x))' | f'(x) | ||||
− ∫ | dx + ∫ | dx = | ∫ | dx = ln|f(x)| + C| = | |||
| cos(x) | sin(x) | f(x) |
| sin(x) | ||
−ln|cos(x)| + ln|sin(x)| + C = ln| | | + C = ln|tg(x)| + C | |
| cos(x) |