Class 12

Math

Calculus

Area

Suppose $y=f(x)andy=g(x)$ are two functions whose graphs intersect at the three point (0, 4), (2,2) and (4, 0) with f(x) gt g(x) for 0 lt x lt 2 and f(x) lt g(x) for 2 lt x lt 4.

If $∫_{0}[f(x)−g(x)]dx=10and∫_{2}[g(x)−f(x)]dx=5$, the area between two curves for 0 lt x lt 2, is