<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find $\int{\frac{1}{\left( ax-b \right)\left( ax+3b \right)}}\,\mathrm{d}x$, where $a$ and $b$ are positive constants.</span></div><p style="text-align: right;">[3]</p></li><li><div class="list-item-content"><span class="list-item-text">Use the substitution $u=\sqrt{{{x}^{3}}}$ to find the exact value of $\int_{0}^{\sqrt[3]{3}}{\frac{\sqrt{x}}{1+{{x}^{3}}}}\,\mathrm{d}x$.</span></div><p style="text-align: right;">[3]</p></li></ol>

Find $\displaystyle\displaystyle \int{\frac{1}{\left( ax-b \right)\left( ax+3b \right)}}\,\mathrm{d}x$, where $a$ and $b$ are positive constants.

Use the substitution $u=\sqrt{{{x}^{3}}}$ to find the exact value of $\displaystyle\displaystyle \int_{0}^{\sqrt[3]{3}}{\frac{\sqrt{x}}{1+{{x}^{3}}}}\,\mathrm{d}x$.

Techniques of  Integration - General

Techniques of  Integration

H2 Math

International Baccalaureate Higher Level Mathematics

2022 DHS J2 MYE P1 Q2

2022 DHS J2 MYE P1 Q2

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