| cos(2x)+1 | ||
cos2(x)= | ||
| 2 |
| cos(2x)+1 | (cos(2x)+1)2 | |||
∫( | )2dx=∫ | = | ||
| 2 | 4 |
| 1 | 1 | 1 | 1 | ||||
∫(cos(2x)+1)2dx= | ∫cos2(2x)dx+ | ∫cos(2x)dx+ | ∫dx | ||||
| 4 | 4 | 4 | 4 |
| 1 | 1 | 3 | ||||
= | sin(4x)+ | sin(2x)+ | x+C | |||
| 32 | 4 | 8 |
| 1 | 3 | |||
∫cos4xdx = − | cos3xsinx + | ∫cos2xdxdx | ||
| 4 | 4 |
| 1 | 1 | |||
∫cos2xdxdx = − | cosxsinx + | ∫dx | ||
| 2 | 2 |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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