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Let f (x) be a polynomial of degree thre...

Let f (x) be a polynomial of degree three satisfying f (0) =- 1 and f (1) =0. Also , 0 is a stationary point of f (x). If f(x) does not have an extremum at x=0, then the value of the integral `int(f(x))/(x^(3)-1)dx` ,is

A

`(x^(2))/(2) + c`

B

`x+c`

C

`(x^(2))/(6) + c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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