<p>Find</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\( \displaystyle \displaystyle\int\nolimits_{0}^{1} xe^{x} \, \mathrm{d}x\)</div></li><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int\nolimits_{0}^{\frac{\pi}{2}} x \cos x \, \mathrm{d}x\)</div></li></ol>

\(\displaystyle \displaystyle\int\nolimits_{0}^{1} xe^{x} \, \mathrm{d}x\)

\( \displaystyle \displaystyle \displaystyle\int\nolimits_{0}^{1} xe^{x} \, \mathrm{d}x\)

\(\displaystyle \displaystyle\int\nolimits_{0}^{\frac{\pi}{2}} x \cos x \, \mathrm{d}x\)

\(\displaystyle \displaystyle \displaystyle\int\nolimits_{0}^{\frac{\pi}{2}} x \cos x \, \mathrm{d}x\)

Integration by Parts

Techniques of  Integration

International Baccalaureate Higher Level Mathematics

Definite integrals via integration by parts

Definite integrals via integration by parts