Let f(x) \equal{} 1 \minus{} \cos x \minus{} x\sin x.
(1) Show that f(x) \equal{} 0 has a unique solution in 0<x<π.
(2) Let J \equal{} \int_0^{\pi} |f(x)|dx. Denote by α the solution in (1), express J in terms of sinα.
(3) Compare the size of J defined in (2) with 2. calculusintegrationtrigonometryfunctioncalculus computations