1 | 2x | |||
( | )' = − | |||
1+x2 | (1+x2)2 |
−1 | 1 | −1 | 1 | 1 | ||||||
całka = | ∫ ( | )' ln x dx = | ln x + | ∫ | ||||||
2 | 1+x2 | 2 | 1+x2 | 2 |
dx | ||
x(1+x2) |
dx | xdx | 1 | dx2 | 1 | ||||||
∫ | =∫ | = | ∫ | = | (ln x2−ln (1+x2)) | |||||
x(1+x2) | x2(1+x2) | 2 | x2(1+x2) | 2 |
1 | ||
Ja dla całki ∫ | dx | |
x(1+x2) |
5^2 | 52 |
2^{10} | 210 |
a_2 | a2 |
a_{25} | a25 |
p{2} | √2 |
p{81} | √81 |
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