I am wondering the value of the following integral $$\int_0^{\infty} \frac{e^{-t}}{\sqrt{t(1+t)}} dt.$$ It seems like $\Gamma(1/2)$ but the integrand has an extra term $1/\sqrt{1+t}$ which makes the integral complicated.
2026-04-14 07:14:29.1776150869
What is the value of this Gamma type integral?
90 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INTEGRATION
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