Area under the curveHard

Question

Suppose y = f(x) and y = g(x) are two functions whose graphs intersect at three points (0, 4), (2, 2) and (4, 0) with f(x) > g(x) for 0 < x < 2 and f(x) < g(x) for 2 < x < 4 .
If [f (x) - g(x)]dx = 10 and [g(x) - f (x)]dx = 5, the area between two curves for 0 < x < 2, is -

Options

A.5
B.10
C.15
D.20

Solution

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