Function p is continuous on [0,5], positive on (0,2), and negative on (2,5). Which of the following best describes the value of ∫05p(x)dx ?
a) It equals the sum of the absolute areas of the two regions, so it must be positive.
b) It is negative because the interval where p is below the axis is longer, so the negative area must outweigh the positive.
c) It equals the area above the x–axis on (0,2) minus the area below the x–axis on (2,5).
d) It is zero because the positive and negative areas cancel whenever the function changes sign.