Let {{MATH_7}} be the constant function {{MATH_8}}. Let {{MATH_9}} be any antiderivative of {{MATH_10}}. Then {{MATH_11}}. {{CMD_12}} This is just a fancy way of saying that {{MATH_13}} is a line of slope {{MATH_14}}, and we are looking for the rise corresponding to a run of {{MATH_15}} {{CMD_16}} {{CMD_17}} {{MATH_18}} {{CMD_19}} {{CMD_20}} {{CMD_21}} The area of the region bounded by the graph of {{MATH_22}}, the horizontal axis, and the vertical lines {{MATH_23}} and {{MATH_24}} is {{MATH_25}}. {{CMD_26}} {{CMD_27}} {{ENV_28}} {{CMD_29}} {{CMD_30}} {{CMD_31}} This is a rectangle with height {{MATH_32}} and width {{MATH_33}}, so the area is {{MATH_34}} {{CMD_35}} {{CMD_36}}