Home
Class 12
MATHS
If int(sinx)^(1) t^(2) f(t) dt =1-sinx,...

If `int_(sinx)^(1) t^(2) f(t) dt =1-sinx`, then the value of `f((1)/(sqrt(3)))` is -

A

3

B

`sqrt(3)`

C

`(1)/(sqrt(3))`

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If int_(cosx)^1(t^2f(t)dt=1-cosx AA x in (0,pi/2) , then the value of [f((sqrt(3))/4)] is [.] denotes the greatest integer function) 4 (b) 5 (c) 6 (d) -7

If int_(0)^(x) f(t)dt=x+int_(x)^(1)t f(t)dt , find the value of f(1).

if int_0^(x^2(1+x))f(t)dt=x then the value of 10f(2) must be

If int_0^xf(t) dt=x+int_x^1 tf(t)dt, then the value of f(1)

If f(x)=1+1/x int_1^x f(t) dt, then the value of f(e^-1) is

Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find the value of f(1/(sqrt(3)))dot

Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find the value of f(1/(sqrt(3)))dot

If f(x)=x+int_(0)^(1)t(x+t)f(t)dt , then the value of (23)/(3)f(0) is equal to-

If int_[x]^(x+1) f(t)dt =[x] then th value of int_(-2)^4 f(x) dx is equal

If int_(0)^(1)(e^(t))/(1+t)dt=a then find the value of int_(0)^(1)(e^(t))/((1+t)^(2))dt in terms of a .

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If int(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2, then the ...

    Text Solution

    |

  2. The value of int cos[2cot^(-1) sqrt((1-x)/(1+x))]dx is equal to -

    Text Solution

    |

  3. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

    Text Solution

    |

  4. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

    Text Solution

    |

  5. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

    Text Solution

    |

  6. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

    Text Solution

    |

  7. The value of int sqrt(e^(x)-1)dx is equal to -

    Text Solution

    |

  8. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

    Text Solution

    |

  9. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

    Text Solution

    |

  10. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

    Text Solution

    |

  11. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

    Text Solution

    |

  12. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

    Text Solution

    |

  13. State which of the following is correct : If f(x) is a continuous f...

    Text Solution

    |

  14. The integrating factor of the linear differential equation (1-x^(2))^...

    Text Solution

    |

  15. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

    Text Solution

    |

  16. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

    Text Solution

    |

  17. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

    Text Solution

    |

  18. The order of differential equations of all parabolas having directrix ...

    Text Solution

    |

  19. The general solution of equation (dy)/(dx)+y= sinx is -

    Text Solution

    |

  20. Solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2...

    Text Solution

    |