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14 10 b f(x) dx - 5 f(x)da = / f(a)dx 5 a where a = and bEvaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas of the labeled regions are A3 O 5 7 A4 A1= 5, A2=4, A3=2 and A4=1 A2 10 (figure is NOT to scale) V = f(x) dx 3 V =If 3 - 2 f(x)dx = f(x)da + f(x)dx - f(x) dx, a 8 - 8 what are the bounds of integration for the first integral? and b =If 7 q(v)dv = 24 -2 and 7 q(v)dv = 8.7 what does the following integral equal? 2 q(v) dv = - 2If 45 f(x) dx = 11 95 and - 45 g(x)dx = 28 95 and - 45 h(x)dx = 23 95 what does the following integral equal? - 45 [5 f(x) + 3g(x) - h(x)]dx = 95Find the exact average value fave of f(9:) = 9 :32 between 0 and 3, then find an exact number c in [0,3] where f(c) = fave. _