[math-fun] Are these two numbers equal?
20 Aug
2018
20 Aug
'18
4:18 p.m.
Let f(x) = ln(2-2*cos(x)) Then are these two numbers equal? A = -Integral from 0 to π/3 of f(t) dt B = Integral from π/3 to π of f(t) dt I can't tell. But they're extremely close. —Dan
20 Aug
20 Aug
5:54 p.m.
According to maple they are symbolically equal. I did not dig into it to try to see why. On Mon, Aug 20, 2018 at 5:19 PM Dan Asimov <dasimov@earthlink.net> wrote:
Let f(x) = ln(2-2*cos(x))
Then are these two numbers equal?
A = -Integral from 0 to π/3 of f(t) dt
B = Integral from π/3 to π of f(t) dt
I can't tell. But they're extremely close.
—Dan
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