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If a function (continuos and twice diffe...

If a function (continuos and twice differentiable) is always concave upward in an interval, then its graph lies always below the segment joining extremities of the graph in that interval and vice-versa.
Let `f:R^(+)toR^(+)` is such that `f"(x)ge0 AAx in [a,b]`. Then value of `int_(a)^(b)f(x) dx` cannot exceed:

A

`((f(a)+f(b))(b-a))/(3)`

B

`((f(b)-f(a))(b-a))/(2)`

C

`((f(b)+f(a))(b-a))/(2)`

D

None of the above

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