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<p>That is,</p>

<p>Thus, over the range of integration, , and the variables  and  have the same limits. This yields:</p>

<p>Then, using <a href="page.php?w=Fubini%27s_theorem">Fubini's theorem</a> to switch the <a href="page.php?w=order_of_integration_%28calculus%29">order of integration</a>:</p>

<p>Therefore, , as expected.</p>

<p><big> By Laplace's method </big></p>
<p>In the <a href="page.php?w=Laplace%27s_method">Laplace approximation</a>, we deal only with up to second-order terms in <a href="page.php?w=Taylor_series">Taylor expansion</a>, so we</p><p>
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