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Format: Step-by-step solution with explanations and methodology. Context: Solving {{PROBLEM_TYPE}} problem in {{TOPIC}}. Task: Solve problem at {{DIFFICULTY_LEVEL}} level with complete steps. Constraints: Do NOT skip steps. Explain reasoning at each stage. Show alternative methods if applicable.

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Variables

Replace these variables with your own values before using:

{{{PROBLEM_TYPE}}}{{{DIFFICULTY_LEVEL}}}{{{TOPIC}}}

Example output

Step 1: Apply the trigonometric identity: sin(x)cos(x) = sin(2x)/2. Step 2: The integral becomes: (1/2)∫sin(2x)dx. Step 3: Compute the antiderivative: -(1/2)cos(2x)/2 = -cos(2x)/4. Step 4: Substitute the limits: [-cos(2π)/4] - [-cos(0)/4] = (-1/4) - (-1/4) = 0.

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Variables

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