Quick Question
What is the total area under the sum of the two functions f(x) = 1 and g(x) = 1/2 + x/2?
Answer
One way to answer the question is to find the area of the big trapezoid whose vertical edges have lengths 3/2 and 2: 3/2 + 1/4 = 7/4. Another way is to add the area of the 1x1 square to the area of the little trapezoid: 1 + (1/2 + 1/4) = 7/4.
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