g Let f(x) be continuously di erentiable. Here is a di erent persepctive on Integration by Parts. a) Use integration by parts to show: Z f(x) dx = xf(x) Z xf0(x) dx a) What piece of the result in part (a) relies on f(x) being continuously di erentiable?

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?