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Let f (x) be a polynomial function of de...

Let f (x) be a polynomial function of degree 3 where `a lt b lt c and f (a) =f (b) = f(c ).` If the graph of f (x) is as shown, which of the following statements are INCORRECT ? (Where `c gt|a|)`

A

(a) `int _(a) ^(c ) f (x ) dx = int _(b) ^(c ) f (x) dx + int _(c ) ^(b) f (x) dx `

B

(b) `int _(a) ^(c ) f (x) dx lt a`

C

(c) ` int _(a) ^(b) f (x) dx lt int _( c)^(b) f (x) dx`

D

(d) `(1)/(b-a) int _(a ) ^(b) f(x) dx gt (1)/(c-b) int _(b) ^(c ) f (x) dx`

Text Solution

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The correct Answer is:
B, C, D
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