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Reference.org
Integration by substitution
open-in-new
<p>In <a href="/facts/Calculus/MEmUTYoz">calculus</a>, integration by substitution, also known as <i>u</i>-substitution, reverse chain rule or change of variables, is a method for evaluating <a href="/facts/Integral/V7lyV997">integrals</a> and <a href="/facts/Antiderivative/5qDsudIv">antiderivatives</a>. It is the counterpart to the <a href="/facts/Chain_rule/aMLYxP0x">chain rule</a> for <a href="/facts/Derivative/7Ito70Dh">differentiation</a>, and can loosely be thought of as using the chain rule "backwards." This involves <a href="/facts/Differential_forms/T9gyHtMv">differential forms</a>. </p>