Bonus 1 of 3 ( 4 pts ) Find the exact average value (also known as mean) on the closed interval [-e" ,e" ]. for the following function . Show/explain how you arrive at your answer. f(x) = x sinx + x - xe* +2Bonus 2 of 3 ( 4 pts ) Find the exact coordinates (x,y) of the centroid(center of mass) of the region 1 f ( x ) =-x bounded by the curves 3 g (x) = V4 -x x =0 2 .Bonus 3 of 3 ( 4 pts ) Find the exact volume (by evaluating a definite integral) of the solid generated by the triangular region bounded by the given three lines rotated about the specified axis . Be sure to specify which method you used ( Washer or Shell) ; You may use your calculator to evaluate the integral. y = X x+y=8 and y =2 about the line Y = 8