| dx | ||
Oblicz całkę ∫ | ||
| √x2+2x |
| dx | ||
=∫ | = y, cosh y = x+1 | |
| √(x+1)2 −1 |
| t2 | ||
x= | ||
| 2t+2 |
| 2t2+2t−t2 | t2+2t | |||
t−x= | = | |||
| 2t+2 | 2t+2 |
| 2t(2t+2)−2t2 | ||
dx= | dt | |
| (2t+2)2 |
| 2t2+4t | ||
dx= | dt | |
| (2t+2)2 |
| 2t+2 | 2(t2+2t) | ||
∫ | dt | ||
| t2+2t | (2t+2)2 |
| dt | ||
∫ | =ln|t+1|+C | |
| t+1 |
| 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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