Home
Class 12
MATHS
Let f(x) be a polynomial of degree three...

Let f(x) be a polynomial of degree three `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 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
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial of degree three such that f(0)=1,f(1)=2 and 0 is a f(x) critical point but f(x) does not have extremum at 0, then int(f(x))/(sqrt(x^(2)+7))dx is

If f (x) is a polynomial of degree two and f(0) =4 f'(0) =3,f'' (0) 4 then f(-1) =

Let f(x) be a polynomial of degree 2 satisfying f(0)=1, f(0) =-2 and f''(0)=6 , then int_(-1)^(2) f(x) is equal to

If f(x) is continuous and int_(0)^(9)f(x)dx=4 , then the value of the integral int_(0)^(3)x.f(x^(2))dx is

If f (x) is polynomial of degree two and f(0) =4 f'(0) =3,f''(0) =4,then f(-1) =

Let g(x) be a polynomial of degree one and f(x) be defined by f(x)=-{g(x),x 0 If f(x) is continuous satisfying f'(1)=f(-1) then g(x) is

Let f(x) be a polynomial of degree 6 divisible by x^(3) and having a point of extremum at x = 2 . If f'(x) is divisible by 1 + x^(2) , then find the value of (3f(2))/(f(1)) .

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is