<p>Find</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\( \displaystyle \displaystyle\int \frac{3}{(x+1)(x-1)} \, \mathrm{d}x\); </div></li><li><div class="list-item-paragraph">\( \displaystyle \displaystyle\int \frac{x+3}{x(x+1)} \, \mathrm{d}x \).</div></li></ol>

\[\displaystyle \displaystyle\int \frac{\(3\)}{(x+\(1\))(x-\(1\))} \, \mathrm{d}x\]

\( \displaystyle \displaystyle \displaystyle\int \frac{3}{(x+1)(x-1)} \, \mathrm{d}x\); 

\[\displaystyle \displaystyle\int \frac{x+\(3\)}{x(x+\(1\))} \, \mathrm{d}x\]

\( \displaystyle \displaystyle \displaystyle\int \frac{x+3}{x(x+1)} \, \mathrm{d}x \).

Partial Fractions Integrals

Techniques of  Integration

International Baccalaureate Higher Level Mathematics

Indefinite integrals of rational functions using partial fraction decomposition

Indefinite integrals of rational functions using partial fraction decomposition