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Topic: Integrating log(sinx)
Replies: 4   Last Post: May 17, 2001 9:09 AM

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Richard Askey

Posts: 227
Registered: 12/3/04
Re: Integrating log(sinx)
Posted: May 17, 2001 9:09 AM
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Dave Renfro suggested one nice way to evaluate the integral of
log(sinx) from 0 to pi/2. There is also a trick which works for
this integral. The integral from 0 to pi of log(sinx) is 2*
integral from 0 to pi/2 of log(sin2x). Use the double angle
formula symmetry of sin(x), and its connection with cosine
to get the integral of log(2) + 2*original integral from 0 to pi.
Dick Askey

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