Can u show step by step solution so I can study these problems

(VI) sin xcos x dx X dx VIII) Integrate using change of variable method: /1+x 3- Find the average value of the function on the given interval. f(x) = sin xcosx [0, 7 / 2] 4- - Find the area between two curves y = e" and y-sinx where o S x 5 72