<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1772939434284-8aa9onqgflw.png" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>The diagram shows the curve \(y = \sin 2x + x\) for&nbsp;\(0 \le x \le \pi\) radians. The point \(M\) is the minimum point of the curve and \(OM\) is a straight line.</p>
<p>Show that the area of the shaded region is \(\left( \frac{\sqrt{3}\pi}{6} + \frac{3}{4} \right)\) square units.<span class="inline-marks">[12]</span></p>

The diagram shows the curve \(y = \sin 2x + x\) for \(0 \le x \le \pi\) radians. The point \(M\) is the minimum point of the curve and \(OM\) is a straight line.

Show that the area of the shaded region is \(\left( \frac{\sqrt{3}\pi}{6} + \frac{3}{4} \right)\) square units.

2025 SJI PRELIMS P2 Q10

2025 SJI PRELIMS P2 Q10