Find ∫ sin(ax+b) cos(ax+b) dx
Find ∫ sin(ax+b) cos(ax+b) dx
- A. -cos(2ax+2b)/(4a) + C
- B. sin²(ax+b)/(2a) + C
- C. -cos²(ax+b)/(2a) + C
- D. All of the above (equivalent forms)
Answer: D) All of the above (equivalent forms)
Explanation: Substitute t = sin(ax+b) gives option 2. Substitute t = cos(ax+b) gives option 3. Using sin(2θ) identity gives option 1. They differ only by a constant.
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