Tam jest e do potęgi x2
| 1 | 1 | |||
∫t2etdt= | (t2et−∫2tetdt) = | t2et−∫tetdt = | ||
| 2 | 2 |
| 1 | 1 | 1 | ||||
t2et−(tet−∫etdt)= | t2et−tet+et=et( | t2−t+1)= | ||||
| 2 | 2 | 2 |
| 1 | ||
=ex2( | x4−x2+1) | |
| 2 |
| dt | ||
dx= | ||
| 2x |
| 1 | 1 | 1 | ||||
∫xtetdx=∫tet= | (tet−∫et)= | (tet−et)= | (x2ex2−ex2) | |||
| 2 | 2 | 2 |
| dt | ||
dx= | ||
| 2x |
| 1 | 1 | 1 | |||
∫et= | et= | ex2 | |||
| 2 | 2 | 2 |
| 1 | 1 | 1 | ||||
ex2( | x4−x2+1)+x2ex2−ex2+ | ex2+C= | ex2(x4+1)+C | |||
| 2 | 2 | 2 |
No i masz babo placek
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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