Quick Question

What is the area between the two curves f(x) = 1 − x/2 (in red) and g(x) = x/2 (in blue)?

Answer

Area = 1/2. We can get this answer by first finding the area (3/4) of the trapezoid with the red top and vertical edges of length 1 and 1/2, and then subtracting from it the area (1/4) of the triangle with the blue hypotenuse whose base is on the x-axis.


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