Home
Class 12
MATHS
Let f(x) be a function such that f(1/x)...

Let f(x) be a function such that ` f(1/x)+x^(3) f'(x)=0` , what is ` int_(-1)^(1) f(x)dx` equal to ?

A

2f(1)

B

0

C

2f(-1)

D

4 f(1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    NDA PREVIOUS YEARS|Exercise MCQs|94 Videos

  • FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY

    NDA PREVIOUS YEARS|Exercise MCQs|232 Videos

Similar Questions

Explore conceptually related problems

If 2f(x) - 3 f(1//x) = x," then " int_(1)^(2) f(x) dx is equal to

If f(x) satisfics f(1)=f(4), the what is int_(1)^(4)f '(x) dx equal to?

Let f(x) be a function satisfying f'(x) = f(x) and f(0) = 2. Then int(f(x))/(3+4f(x))dx is equal to

Let f(x) be a real valued function such that f(x)=f((121)/(x)),AA x>0. If int_(1)^(11)(f(x))/(x)dx=5, then the value of int_(1)^(121)(f(x))/(x)dx is equal to

Let f(x) be a function satisfying f(x)=f((100)/(x)),AA x<0. If int_(1)^(10)(f(x))/(x)dx=5 then value of int_(1)^(100)(f(x))/(x)dx

Let f (x) be function defined on [0,1] such that f (1)=0 and for any a in (0,1], int _(0)^(a) f (x) dx - int _(a)^(1) f (x) dx =2 f (a) +3a +b where b is constant. int _(0)^(1) f (x) dx =

Let f (x) be function defined on [0,1] such that f (1)=0 and for any a in (0,1], int _(0)^(a) f (x) dx - int _(a)^(1) f (x) dx =2 f (a) +3a +b where b is constant. The length of the subtangent of the curve y= f (x ) at x=1//2 is:

A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to

Let f(x) = {x} , the fractional part of x then int_(-1)^(1) f(x) dx is equal to

Let f(x) be a quadratic function such that f(0)=1 and int(f(x))/(x^(2)(x+1)^(3))dx is a rational function,then the value of f'(0) is

NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
  1. The order and degree of the differential equation of parabolas having ...

    Text Solution

    |

  2. Order of differential equation whose solution is y = cx + c^2 - 3c^(3/...

    Text Solution

    |

  3. Let f(x) be a function such that f(1/x)+x^(3) f'(x)=0 , what is int(...

    Text Solution

    |

  4. What are the degree and order respectively of the differential equatio...

    Text Solution

    |

  5. If x dy =y (dx+y dy), y(1) =1and Y(x)gt 0. Then, y (-3) is epual to

    Text Solution

    |

  6. What is the order of the differential equation dx/dy+ int y dx=x^3?

    Text Solution

    |

  7. Which one of the following differential equations represents the famil...

    Text Solution

    |

  8. (d^2 x)/(dy^2) is equal to :

    Text Solution

    |

  9. If xdy = y(dx + ydy); y(1) = 1 and y(x) > 0, then what is y(-3) equal ...

    Text Solution

    |

  10. The degree and the order of the differential y=x((dy)/(dx))^2+((dx)/(...

    Text Solution

    |

  11. What is the differential equation corresponding to y^2 -2ay+x^2 = a^2 ...

    Text Solution

    |

  12. Find the general solution of the differential equation y dx-(x+2y^2)d...

    Text Solution

    |

  13. What is the solution of the differential equation In ((dy)/(dx))-a =0...

    Text Solution

    |

  14. The general solution fo (dy)/(dx) = (ax +h)/(by +h) represents a circ...

    Text Solution

    |

  15. The order and degree of the differential equation [1 + ((dy)/(dx))^(...

    Text Solution

    |

  16. The differential equation of minimum order by eliminting the arbitral...

    Text Solution

    |

  17. The solution of the differential (dy)/(dx) = (y phi '(x) -y^(2))/(ph...

    Text Solution

    |

  18. Solution of the differential equation xdy-ydx=0 represents

    Text Solution

    |

  19. Which one of the following differential equations has a periodic solut...

    Text Solution

    |

  20. The order and degrree of the differential equation y^(2) =4a (x-a) , ...

    Text Solution

    |