<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find \(\int (2x-1) \cos x \, \mathrm{d}x\).</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 \(\int_{0}^{\frac{\pi}{2}} |2x-1| \cos x \, \mathrm{d}x\). 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 \(\displaystyle\displaystyle \int (2x-1) \cos x \, \mathrm{d}x\).

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

Integrals involving Modulus Functions

Applications of Intergration

H2 Math

International Baccalaureate Higher Level Mathematics

2025 HCI P1 Q9

2025 HCI P1 Q9