Re: integral of sin(x)/x


david wrote:
> can someone give me a quick explanation why
> intergral from 0 to infinity of (sin(x)/x) dx
> is pi/2?

Here's an interesting way to compute that integral.

First, compute integral(t=0..oo) exp(-a*t) sin(x)/x dx as a
function of a, using the Taylor series for sin(x)/x. You should
immediately recognize what the function of 'a' is, at least when
a > 1. Then wave your hands and declare it to be valid in the
limit as a -> 0.

.

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