Spiegare gentilmente i ragionamenti e argomentare.
a)
k S_[0,pi] sin x dx = 1
k [- cos x]_[0,pi] = 1
k [cos x]_[pi,0] = 1
k (cos 0 - cos pi) = 1
2 k = 1
k = 1/2
b) f(x) = 1/2 sin x, 0 <= x <= pi
https://www.desmos.com/calculator/eumu4nfmxb
c) Pr [Ec] = 1/2 S_[pi/4, 3/4 pi] sin x dx =
= 1/2 [ cos x ]_[3/4 pi, pi/4] =
= 1/2 [ rad(2)/2 - (- rad(2)/2) ] =
= 1/4 * 2 rad(2) = rad(2)/2
70.7 %