<p><strong>Integrating a single function and reduction of powers</strong></p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int \ln x \, \mathrm{d}x\)</div></li><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int \arcsin x \, \mathrm{d}x\)</div></li><li><div class="list-item-paragraph">\(\displaystyle  \displaystyle\int x^2 \sin x \, \mathrm{d}x\)</div></li></ol>

**Integrating a single function and reduction of powers**

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

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

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

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

\(\displaystyle \displaystyle\int x^2 \sin x \, \mathrm{d}x\)

\(\displaystyle  \displaystyle \displaystyle\int x^2 \sin x \, \mathrm{d}x\)

Integration by Parts

Techniques of  Integration

International Baccalaureate Higher Level Mathematics

Integration by parts using LIATE rule

Integration by parts using LIATE rule