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].

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- Jun 1st 2006, 04:05 PMSusie38Can you hlep me with this?
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].

- Jun 1st 2006, 07:27 PMmalaygoelQuote:

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 :)