Try to slide the values of a and b according to the suggested values below and look at the area found.
a) If a = 0, b = 7, f(x) is positive for 0 < x < 7, the area is 23.57 (positive).
b) If a = 7, b = 10, f(x) is negative for 7 < x < 10, the area is -6.9 (negative).
c) If a = 0, b = 10, f(x) is positive for 0 < x < 7 and is negative for 7 < x < 10, the "area" given is 16.67, which is the result of 23.57 + (-6.9), which means the "area" here is a SIGNED AREA.
What do you suggest if you wish to find the total area falls between f(x) and x-axis for 0 < x < 10?
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