Solving Common Variations of the Gaussian Integral

<p>We will begin with perhaps the most basic variation on the Gaussian integral:</p> <p>Where&nbsp;<em>a</em>&nbsp;&gt; 0.</p> <p>While the method for solving this integral will be the exact same as the standard Gaussian integral, I wanted to cover this since I will be using the result for the other integrals.</p> <p>All we have to do is use the same polar coordinates method as before, but make use of the&nbsp;<em>u</em>-substitution of&nbsp;<em>u&nbsp;</em>= -<em>ar</em>&sup2; instead of&nbsp;<em>u</em>&nbsp;= -<em>r</em>&sup2;:</p> <p><a href="https://medium.com/@2305sakake/solving-common-variations-of-the-gaussian-integral-659ec5101414"><strong>Read More</strong></a></p>