| 1 | ||
du = | dx | |
| cos2(x) |
| 1 | ||
cos2(x) = | ||
| u2+1 |
| u2 | ||
sin2(x) = | ||
| u2+1 |
| u | ||
sin(x)cos(x) = | ||
| 1+u2 |
| 1 | ||
∫ | dx = ∫ √[u/(1+u2)]/[u2/(u2+1)]3du = | |
| √cos3(x)sin5(x) |
| u−3/2 | u1/2 | |||
= ∫ (1+u2)√1/u5du = ∫ u−5/2 + u−1/2 du = | + | + C = | ||
| −3/2 | 1/2 |
| 2 | ||
= − | tg(x))−3/2 + 2(tg(x))1/2 + C | |
| 3 |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
| Kliknij po więcej przykładów | |
|---|---|
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