If f(x)=sinx over the interval 0>x>pi/2 is wanted to be approximated by g(x)=px (p is a constant) what value of p would you choose to make:
int.pi/2->0 f(x)dx= int.pi/2->0 g(x)dx ?
(int = integral, pi/2->0 = over interval 0 to pi/2)

and then what value of p would you choose to make:
the maximum value of |f(x)-g(x)| in the interval as small as possible?

and to make:
int.pi/2->0^2dx as small as possible??