If f is continuous on [2,4] and the integral of f(x) dx from 2 to 4 is equal to 7, explain why f(c) is greater than or equal to 3 for some c in [2,4].
let f(x) is less than 3 for all points in [2,4]Originally Posted by Susie38
hence integral of f(x)dx from 2 to 4 will be less than integral of 3dx from 2 to 4
but integral of 3dx from 2 to 4 is 6
which contradicts the condition
actully f(x) should be greater than 3.5 for some c if it is changing with x