| 3+sin2x | ||
∫ | Jakie podstawienie tutaj obrać? Albo jak to przekształcić? | |
| 2cos2x−cos4x |
| 3+sin2x | 3+sin2x | |||
∫ | dx=∫ | dx | ||
| 2cos2x−cos4x | cos2x(2−cos2x) |
| 1 | ||
dt= | dx | |
| cos2x |
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∫ | dt | ||||||||||
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| 4t2+3 | ||
∫ | dt | |
| 2t2+1 |
| 4t2+2+1 | ||
∫ | dt | |
| 2t2+1 |
| 1 | ||
∫2dt+∫ | dt | |
| 1+2t2 |
| √2 | √2 | |||
2∫dt+ | ∫ | dt | ||
| 2 | 1+2t2 |
| 3+sin2x | 4−cos2x | |||
∫ | dx = ∫ | dx = | ||
| 2cos2x−cos4x | 2cos2x−cos4x |
| 4−2cos2x+cos2x | ||
∫ | dx= | |
| 2cos2x−cos4x |
| 4−2cos2x | cos2x | |||
=∫ | dx+∫ | dx= | ||
| 2cos2x−cos4x | 2cos2x−cos4x |
| 2 | 1 | |||
=∫ | dx+∫ | dx= | ||
| cos2x | 2−cos2x |