Definitely not a semicircle
Calculus
Level
3
\[1-(1-x)^{1-x}x^x\] The curve looks like a semicircle with a radius 0.5.
Which is larger,\(\displaystyle\int_0^1 1-(1-x)^{1-x}x^x dx\) or \(\dfrac{\pi}8\)?
by
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