JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

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 \frac{f(x)}{x^3-1} d x

, is

View answer and explanation

Correct option: B

x+C

Option B (

x+C

) is correct because after substituting the given conditions and simplifying, the integral evaluates to

x+C

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