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

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

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos
  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos

Similar Questions

Explore conceptually related problems

If int_(sinx)^(1)t^(2)f(t)dt=1-sinx, xepsilon(0,(pi)/2) then find the value of f(1/(sqrt(3)))

If int_(cos x)^(1)t^(2)f(t)dt=1-cos x AA x in(0,(pi)/(2)) then the value of [f((sqrt(3))/(4))] is

Ifint_(sin x)^(1)t^(2)f(t)dt=1-sin x, wherex in(0,(pi)/(2)) then find the value of f((1)/(sqrt(3)))

If int_(sinx)^(1) t^(2)f(t)dt=1-sinx " for all " x in [0,pi//2] , then f((1)/(sqrt(3)))=

int_(0)^(1)t^(2)sqrt(1-t)*dt

If mean value theorem holds good for the function f(x)=(x-1)/(x) on the interval [1,3] then the value of 'c' is 2 (b) (1)/(sqrt(3))( c) (2)/(sqrt(3))(d)sqrt(3)

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

if f(t)=t^(3)+sqrt(2)t^(2)+3(sqrt(2)t)-1, then evaluate f(2sqrt(2))

BANSAL-INTEGRALS-All Questions
  1. If y(x)=\ int(pi^2//16)^(x^2)(cos xdotcossqrt(theta))/(1+sin^2sqrt(the...

    Text Solution

    |

  2. Find the value of int(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|pi/3))dx

    Text Solution

    |

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

    Text Solution

    |

  4. int(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto -4 (b) 0 (c...

    Text Solution

    |

  5. Evaluate: int0^pie^(cos x)(2sin(1/2cos x)+cos(1/2cos x))sinx dxdot

    Text Solution

    |

  6. Evaluate : int(0)^(pi//2) sin x dx

    Text Solution

    |

  7. For every function f (x) which is twice differentiable , these will be...

    Text Solution

    |

  8. If f(x)<0,\ x in (a , b) then at the point C(c ,\ f(c)) on y=f(x...

    Text Solution

    |

  9. Find the value of (5050int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^...

    Text Solution

    |

  10. (lim)(x->4)(int2sec^2\ f(t)dt)/(x^2-(pi^2)/(16)) equals a.8/pif(2) b. ...

    Text Solution

    |

  11. int(-1)^1(dx)/(1+x^2)

    Text Solution

    |

  12. int0^1(dx)/(1-x^2)\

    Text Solution

    |

  13. int2^3(dx)/(1-x^2)

    Text Solution

    |

  14. int1^2(dx)/(x\ sqrt(x^2-1))

    Text Solution

    |

  15. Let f be a non-negative function defined on the interval [0,1]dot If i...

    Text Solution

    |

  16. If In=int-pi^pi (sinnx)/((1+pi^x)sinx)dx, n=0,1,2, …, then (A) In=I(n+...

    Text Solution

    |

  17. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  18. The value of (lim)(x->0)1/(x^3)int0^x(t ln(1+t))/(t^4+4)dt is a.0 b. 1...

    Text Solution

    |

  19. The value of int0^1(x^4(1-x)^4)/(1+x^2)dxi s//a r e (22)/7-pi (b) 2/...

    Text Solution

    |

  20. Let f be a real-valued function defined on the inverval (-1,1) such th...

    Text Solution

    |