<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">$\int{\frac{1}{{{x}^{2}}+2x+5}\,\mathrm{d}x}$,</span></div><p style="text-align: right;">[2]</p></li><li><div class="list-item-content"><span class="list-item-text">$\int{\frac{{{(\ln x)}^{3}}}{x}\,\mathrm{d}x}$.</span></div><p style="text-align: right;">[2]</p></li></ol></li><li><div class="list-item-content"><span class="list-item-text">Find the exact value of $\int_{0}^{\frac{\pi }{2}}{x\cos x\,\mathrm{d}x}$.</span></div><p style="text-align: right;">[3]</p></li></ol>

$\displaystyle\displaystyle \int{\frac{1}{{{x}^{2}}+2x+5}\,\mathrm{d}x}$,

$\displaystyle\displaystyle \int{\frac{{{(\ln x)}^{3}}}{x}\,\mathrm{d}x}$.

Find the exact value of $\displaystyle\displaystyle \int_{0}^{\frac{\pi }{2}}{x\cos x\,\mathrm{d}x}$.

2020 VJC Promo Q2

2020 VJC Promo Q2

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