Home
Class 12
MATHS
The total number for distinct x epsilon[...

The total number for distinct `x epsilon[0,1]` for which `int_(0)^(x)(t^(2))/(1+t^(4))dt=2x-1` is __________.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The total number of distinct x in (0,1] for which int_(0)^(x)(t^(2))/(1+t^(4)) dt = 2x-1 is

Total number of distinct x epsilon [0,1] for which int_(0)^(x) (t^(8)+1)/(t^(8)+t^(2)+1) dt=3x-2 is ______

Let F(x)=int_(0)^(x)(t-1)(t-2)^(2)dt

If f(x)=int_(2)^(x)(dt)/(1+t^(4)) , then

The total number of extremum(s) of y=int_(0)^(x^(2))(t^(2)-5t+4)/(2+e^(t))dt are

The value of lim_(x rarr0)int_(0)^(x)(t ln(1+t))/(t^(4)+4)dt

F(x)= int_(0)^(x)(cost)/((1+t^(2)))dt0lt=xlt=2pi . Then

The number of critical points of the function f(x)=int_(0)^(x)e^(t)(t-1)(t-2)(t-3)dt

If int_(0)^(x^(2)(1+x))f(t)dt = x then find f(2)

lim_(x to 0)(int_(0^(x) x e^(t^(2))dt)/(1+x-e^(x)) is equal to

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The value of int(-pi//2)^(pi//2) (x^(2)cos x )/(1+e^(x)) dx is equal ...

    Text Solution

    |

  2. The total number for distinct x epsilon[0,1] for which int(0)^(x)(t^(2...

    Text Solution

    |

  3. Let f(x)=7 tan^(8) x +7 tan^(6) x-3 tan^(4) x-3 tan^(2)x for all x in...

    Text Solution

    |

  4. Let f prime(x)=(192x^3)/(2+sin^4 pix) for all x in RR with f(1/2)=0. I...

    Text Solution

    |

  5. The option(s) with the values of aa n dL that satisfy the following eq...

    Text Solution

    |

  6. Let F:R- R be a thrice differentiable function. Suppose that F(1)=0,F(...

    Text Solution

    |

  7. Let F : R to R be a thrice differentiable function . Suppose that F(...

    Text Solution

    |

  8. Let f: RvecR be a function defined by f(x)={[x],xlt=2 0,x >2 where [...

    Text Solution

    |

  9. If alpha=int0^1(e^9x+3tan^((-1)x))((12+9x^2)/(1+x^2))dxw h e r etan^(-...

    Text Solution

    |

  10. The integral overset(pi//2)underset(pi//4)int (2 cosecx)^(17)dx is equ...

    Text Solution

    |

  11. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

    Text Solution

    |

  12. Match the conditions/ expressions in Column I with statement in Column...

    Text Solution

    |

  13. Match List I with List II and select the correct answer using codes gi...

    Text Solution

    |

  14. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s

    Text Solution

    |

  15. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

    Text Solution

    |

  16. The value of int(sqrt(ln2))^(sqrt(ln3)) (xsinx^2)/(sinx^2+sin(ln6-x^2)...

    Text Solution

    |

  17. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  18. The value of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

    Text Solution

    |

  19. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

    Text Solution

    |

  20. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |