1. (14 pts.) (a.) Set up, but do not evaluate an integral to calculate the area enclosed by the functions f(x) =1-x' and g(x) =x -1. Be sure to draw a sketch and find the intersection points algebraically, showing all work. Make sure that you do all the algebra within the integral (simplify). but you do not need to integrate, (b.) Now, set up, but do not evaluate an integral to calculate the volume of the solid formed by rotating the region you sketched in part (a.) about the axis: x = 4. Be sure to draw a new sketch (or modify the old one) before you set up the integral. (Hint: Use the most convenient method.) Show all work. Make sure that you do all the algebra withlan the integral (simplify), but you do not need to integrate