Definitely not a semicircle

Calculus Level 3

1−(1−x)1−xxx1-(1-x)^{1-x}x^x The curve looks like a semicircle with a radius 0.5.

Which is larger,∫011−(1−x)1−xxxdx\displaystyle\int_0^1 1-(1-x)^{1-x}x^x dx or π8\dfrac{\pi}8?

View solutions
X X by X X
×

Problem Loading...

Note Loading...

Set Loading...