Compute the average value of the function {{MATH_156}} on the interval {{MATH_157}}. {{CMD_158}} By definition, we wish to compute {{MATH_159}} Computing this integral geometrically, we find the average value to be {{MATH_160}}. {{CMD_161}} {{CMD_162}} Another way we can make sense of ``The average height of a point on the unit semi circle'' is the average value of the function {{MATH_163}} on {{MATH_164}}, since {{MATH_165}} is the height of the point on the unit circle at the angle {{MATH_166}}. {{CMD_167}} Compute the average value of the function {{MATH_168}} on the interval {{MATH_169}}. {{CMD_170}} By definition, we wish to compute {{MATH_171}} Computing this integral geometrically, we find the average value to be {{MATH_172}}. {{CMD_173}} {{CMD_174}}