Integrate the functions sin(a x+b)cos(a ...

Integrate the functions `sin(a x+b)cos(a x+b)`

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To integrate the function \( \sin(ax + b) \cos(ax + b) \), we can follow these steps: ### Step-by-Step Solution: 1. **Use the Double Angle Identity**: We know from trigonometric identities that: \[ \sin(2\theta) = 2 \sin(\theta) \cos(\theta) ...

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