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Re: Integrating log(sinx)
Posted:
May 17, 2001 9:09 AM


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



