<ol class="abc-list"><li data-list-item-id="item-1768126170524-fm0nu8tpj"><ol class="i-list"><li data-list-item-id="subitem-1768126173556-6idi77y16"><div class="list-item-paragraph">Factorise completetly $x^3+64$.<span class="inline-marks">[2]</span></div></li><li data-list-item-id="subitem-1768126510839-64458e19c"><div class="list-item-paragraph"><strong>Hence</strong>, express $\frac{3x^2}{x^3+64}$ in partial fractions.<span class="inline-marks">[5]</span></div></li></ol></li><li data-list-item-id="item-1768297622801-00z1ksqj8"><div class="list-item-paragraph">Using the results in <strong>part (a)</strong>, or otherwise, find \[\displaystyle \displaystyle\int\frac{2x^3+3x^2+128}{x^3+64} \mathrm dx\]<span class="inline-marks">[3]</span></div></li></ol>

Using the results in **part (a)**, or otherwise, find $$\displaystyle \displaystyle\int\frac{2x^3+3x^2+128}{x^3+64} \mathrm dx$$

2025 4E5N AM BDS P2 Q4

2025 4E5N AM BDS P2 Q4