Home
Class 12
MATHS
Ifint(sinx)^1t^2f(t)dt=1=1-s inx ,w h e ...

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

A

`1//3`

B

`1//sqrt3`

C

3

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos
  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

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, 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

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

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

f(x)=int_(1)^(x)(tan^(-1)(t))/(t)dt,x in R^(+), then find the value of f(e^(2))-f((1)/(e^(2)))

If int_(0) ^(x) f (t) dt = x + int _(x ) ^(1) t f (t) dt, then the value of f (1) , is

For x>0, let f(x)=int_(1)^(x)(log t)/(1+t)dt. Find the function f(x)+f((1)/(x)) and find the value of f(e)+f((1)/(e))

MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. If int0^y cos t^2\ dt = int0^(x^2)\ sint/t \ dt, then dy/dx is equal t...

    Text Solution

    |

  2. let f(x)=int(t^2-t+1)dt,AA x in (3,4), then the difference between th...

    Text Solution

    |

  3. Ifint(sinx)^1t^2f(t)dt=1=1-s inx ,w h e r ex in (0,pi/2), then find t...

    Text Solution

    |

  4. The smallest interval [a,b] such that overset(1)underset(0)int (1)/...

    Text Solution

    |

  5. Given that n is odd and m is even integer. the value of int (0) ^(x ) ...

    Text Solution

    |

  6. underset(n to oo)"lim"underset(r=1)overset(n)sum((r^(3))/(r^(4) + n^(4...

    Text Solution

    |

  7. underset(n to oo)lim" " underset(r=2n+1)overset(3n)sum (n)/(r^(2)-...

    Text Solution

    |

  8. lim(n->oo)[(1+1/n^2)(1+2^2 /n^2)(1+3^2 /n^2)......(1+n^2 / n^2)]^(1/n)

    Text Solution

    |

  9. underset(nrarroo)"lim"[sin'(pi)/(n)+sin'(2pi)/(n)+"......"+sin'((n-1))...

    Text Solution

    |

  10. Lim(n->oo)[1/n^2 * sec^2 (1/n^2)+2/n^2 * sec^2 (4/n^2)+..............+...

    Text Solution

    |

  11. If int (0)^(x^(2)) f(t) dt = x cos pix , then the value of f(4) is

    Text Solution

    |

  12. If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...

    Text Solution

    |

  13. Let I (1) = int (1) ^(2) (dx )/(sqrt(1 + x ^(2))) and I (2) = int (1) ...

    Text Solution

    |

  14. If I(n)=underset(0)overset(pi//4)inttan^(n)x dx, then (1)/(I(2)+I(4)...

    Text Solution

    |

  15. If I (1) = int (0) ^(1) 2 ^(x ^(2)) dx, I (2) = int (0) ^(1) 2 ^(x ^(3...

    Text Solution

    |

  16. If u (n) = int (0) ^(pi//2) x ^(n) sin x dx, n in N then the value of ...

    Text Solution

    |

  17. The vlaue of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...

    Text Solution

    |

  18. In = int0^(pi/4) tan^n x dx , then the value of n(l(n-1) + I(n+1)) is

    Text Solution

    |

  19. The value of the integral l = int(0)^(1) x(1-x)^(n) dx is

    Text Solution

    |

  20. Let I (1) = int (0) ^(1) (e ^(x) dx )/( 1 + x) and I (2) = int (0) ^(1...

    Text Solution

    |