Contour Integration #8 - Integral of sqrt(x)/(x^2 + 6x + 8)

In this video, we'll use the technique of contour integration to integrate sqrt(x)/(x^2 + 6x + 8) over the positive real line. We'll define what we mean by sqrt(z) for complex z by using a branch cut, by taking sqrt(z) = e^(1/2 * Log(z)) = e^(1/2 * (log|z| + iarg(z))), where arg(z) varies between 0 and 2pi. Like us on Facebook:   / learnmathsfree   Follow us on Twitter:   / learnmathsfree   Google+: https://plus.google.com/u/0/b/1170336... Video URL:    • Contour Integration #8 - Integral of sqrt(...   Channel URL:    / @learnmathsfree