<p>Find</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int \frac{3x}{x^2 + 1} \, \mathrm{d}x\);</div></li><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int \tan x \, \mathrm{d}x\);</div></li><li><div class="list-item-paragraph">\( \displaystyle \displaystyle\int x^2 \sqrt{2x^3 - 1} \, \mathrm{d}x\) .</div></li></ol>

\(\displaystyle \displaystyle\int \frac{3x}{x^2 + 1} \, \mathrm{d}x\)

\(\displaystyle \displaystyle \displaystyle\int \frac{3x}{x^2 + 1} \, \mathrm{d}x\);

\(\displaystyle \displaystyle\int \tan x \, \mathrm{d}x\)

\(\displaystyle \displaystyle \displaystyle\int \tan x \, \mathrm{d}x\);

\( \displaystyle \displaystyle \displaystyle\int x^2 \sqrt{2x^3 - 1} \, \mathrm{d}x\) .

Integration of Algebraic Fractions

Techniques of  Integration

International Baccalaureate Higher Level Mathematics

Indefinite integrals of quotients where derivative appears as numerator

Indefinite integrals of quotients where derivative appears as numerator