| dx | ||
j) ∫21 | ||
| x√4−x2 |
| 1 | ||
∫ | dx | |
| x√4−x2 |
| −4t | ||
x= | ||
| 1+t2 |
| −4t2+2+2t2 | −2t2+2 | |||
xt+2= | = | |||
| 1+t2 | 1+t2 |
| −4(1+t2)−2t(−4t) | ||
dx= | dt | |
| (1+t2)2 |
| −4+4t2 | ||
dx= | dt | |
| (1+t2)2 |
| 1+t2 | 1+t2 | 4(t2−1) | ||
∫ | dt | |||
| −4t | −2(t2−1) | (1+t2) |
| dt | ||
=2∫ | ||
| t |
| √4−x2−2 | ||
=2ln| | |+C | |
| x |
| 1 | √4−x2−2 | |||
= | ln| | |+C | ||
| 2 | x |
| 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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