(b) (15 points) Consider the function [ f(x)=sin left(x+rac{pi}{4} ight) cdot cos left(x+rac{pi}{4} ight)+cos (x) cdot sin (x) ] Determine the area between the function and the ( x )-axis between ( x=-rac{pi}{4} ) and ( x=+rac{pi}{4} ).

(b) (15 points) Consider the function f(x)=sin(x+4)cos(x+4)+cos(x)sin(x) Determine the area between the function and the x-axis between x=4 and x=+4