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^(3))/(6)+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2014

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

  • QUESTION-PAPERS-2016

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

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

Let g(x) be a polynomial of degree one and f(x) is defined by f(x)={g(x),x 0} Find g(x) such that f(x) is continuous and f'(1)=f(-1)

BITSAT GUIDE-QUESTION-PAPERS-2015-MATHEMATICS
  1. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  2. Two lines L(1): x=5, (y)/(3-alpha)=(z)/(-2) L(2):x=alpha, (y)/(-1) =...

    Text Solution

    |

  3. The eccentricity of an ellipse with its centre at the origin is (1)/(2...

    Text Solution

    |

  4. The function f(x)=x/2+2/x has a local minimum at x=2 (b) x=-2 x=0 (...

    Text Solution

    |

  5. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  6. If lim(x to oo) x sin ((1)/(x)) =A and lim(x to 0) x sin ((1)/(x)) =B,...

    Text Solution

    |

  7. If a and b (ne 0) are the roots of the quadratic x^(2)+ax+b=0 then the...

    Text Solution

    |

  8. If 0 lt x lt pi /2 then

    Text Solution

    |

  9. The degree of the differential equation satisfying sqrt(1-x^(2))+sqr...

    Text Solution

    |

  10. Let f(x) be a polynomial of degree three f(0) = -1 and f(1) = 0. Also,...

    Text Solution

    |

  11. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

    Text Solution

    |

  12. If the lines p1x+q1y=1+q2y=1 and p3x+q3y=1 be concurrent, show that th...

    Text Solution

    |

  13. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

    Text Solution

    |

  14. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

    Text Solution

    |

  15. If complex number Z(1), Z(2) and 0 are vertices of equilateral triangl...

    Text Solution

    |

  16. If rho={(x , y)|x^2+y^2=1, x , y in A}.Then , rho is

    Text Solution

    |

  17. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

  18. If in a binomial distribution n=4,\ P(X=0)=(16)/(81),\ t h e n\ P(X=4)...

    Text Solution

    |

  19. Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in...

    Text Solution

    |

  20. If binomial coeffients of three consecutive terms of (1 + x )^(n) ar...

    Text Solution

    |