4. Let f be a continuous function on the interval [-8,9] such that f(x) > 0 when -8

4. Let f be a continuous function on the interval 9] such that f (x) 8 < < 1 and 4 < x < 9; f (x) < O when 1 < x < 4, and f (8) > O when f(l) = (4 points) f(4) = f(9) o. Suppose f 5, f (x)dx f (x)dx. 4.1 Find 149 f (x)dx 2. 4.5, and 4.2 Find the area between the curve y = f (x) and the x-axis on the interval [ 8, 9].