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Let f(x)=x^(3)+ax^(2)+bx+c, where a, b, ...

Let `f(x)=x^(3)+ax^(2)+bx+c`, where a, b, c are real numbers. If `f(x)` has a local minimum at `x = 1` and a local maximum at `x=-1/3` and `f(2)=0`, then `underset(-1)overset(1)(int) f(x) dx` equals-

A

`14/3`

B

`(-14)/3`

C

`7/3`

D

`(-7)/3`

Text Solution

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The correct Answer is:
B
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