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Let f(x) is a quadratic expression with...

Let `f(x)` is a quadratic expression with positive integral coefficients such that for every `alpha, beta in R, beta lt alpha,int_alpha^beta f(x) dx lt 0`. Let `g(t) = f''(t) f(t), and g(0) = 12`, then

A

`I lt f( (alpha+beta)/(2))(beta-alpha)`

B

`I gt f((alpha+beta)/(2))(beta-alpha)`

C

`I gt 1/2 (f(alpha)+f(beta))(beta-alpha)`

D

`I lt 1/2 (f(alpha)+f(beta))(beta-alpha)`

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The correct Answer is:
A, C
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - III
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