Question

Find the average value of (x ) = 3x^2 - 3 in [ 0,1 ]

Answer 1

$3x { }^{2} - 3 \\ 3(x {}^{2} - 1) = 0 \\ x { }^{2} - 1 = 0 \\ then \\ x { }^{2} = 1 \\ x = \sqrt{1 } = 1 \\ x = 1and0$