<p>Let \(\mathrm{f}\) be a function, and \(C\) an arbitrary constant.</p>
<div class="content-block content-block--table"><div class="table-container"><table><caption>Indefinite integrals involving exponential functions</caption><thead><tr><th style="text-align: left; --cell-justify: flex-start">Differentiation</th><th style="text-align: left; --cell-justify: flex-start">Integration</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">\[\frac{\mathrm{d}}{\mathrm{d}x} (e^{\mathrm{f}(x)}) = e^{\mathrm{f}(x)} \mathrm{f}'(x)\]</td><td style="text-align: left; --cell-justify: flex-start">\[\displaystyle\int e^{\mathrm{f}(x)} \mathrm{f}'(x) \, \mathrm{d}x = e^{\mathrm{f}(x)} + C\]</td></tr></tbody></table></div></div>

Let \(\mathrm{f}\) be a function, and \(C\) an arbitrary constant.

Integration Techniques

Techniques of  Integration

International Baccalaureate Higher Level Mathematics

Indefinite integral of exponential functions

Indefinite integral of exponential functions