Let {{MATH_213}}. Consider {{MATH_214}}. Find a value {{MATH_215}} guaranteed by the Mean Value Theorem. {{CMD_216}} We first need to evaluate {{MATH_217}}. {{MATH_218}} Thus we seek a value {{MATH_219}} in {{MATH_220}} such that {{MATH_221}}. {{MATH_222}} There is another such point: {{MATH_223}}. Indeed, {{MATH_224}} A graph of {{MATH_225}}, along with a rectangle with height {{MATH_226}}, is pictured below. The area of the rectangle is the same as the area under {{MATH_227}} on {{MATH_228}}. The two points {{MATH_229}} and {{MATH_230}} are also shown in the figure. Recall, {{MATH_231}}. {{CMD_232}} {{ENV_233}} {{CMD_234}} {{CMD_235}} {{CMD_236}} {{CMD_237}}