The region enclosed by the curve y = 2 \sin 3x, the x-axis and the line x = a, where 0 < a < 1 radian, lies entirely above the x-axis. Given that the area of this region is \frac{1}{3} square unit, find the value of a.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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