<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find \(\displaystyle\int (2x-1) \cos x \, \mathrm{d}x\).</span><span class="inline-marks">[3]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence find the value of \(\displaystyle\int\nolimits_{0}^{\frac{\pi}{2}} |2x-1| \cos x \, \mathrm{d}x\). Give your answer in the form \(A-4 \cos B\), where \(A\) and \(B\) are exact constants to be determined.</span><span class="inline-marks">[4]</span></div></li></ol>

Find \(\displaystyle\displaystyle \displaystyle\int (2x-1) \cos x \, \mathrm{d}x\).

Hence find the value of \(\displaystyle\displaystyle \displaystyle\int\nolimits_{0}^{\frac{\pi}{2}} |2x-1| \cos x \, \mathrm{d}x\). Give your answer in the form \(A-4 \cos B\), where \(A\) and \(B\) are exact constants to be determined.

2025 HCI P1 Q9

2025 HCI P1 Q9