Home
Class 12
MATHS
If a, b and c are real numbers, then the...

If a, b and c are real numbers, then the value of `underset(trarr0)(lim)((1)/(t)int_(0)^(t)(1+asinbx)^(c//x)dx)` equals

A

abc

B

`(ab)/(c)`

C

`(bc)/(a)`

D

`(ca)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Definite intefral Exercise 1 : Single Option Correct Type Questions|1 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 6|10 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

underset(xrarr0)lim (e^x -1)/(x) is equal to

underset(xrarr0)lim x/(tanx) is equal to:

The value of lim_(xrarr0)(1)/(x^(3)) int_(0)^(x)(tln(1+t))/(t^(4)+4) dt

underset(xrarr0)lim (1-cos2x)/x is equal to:

underset(xrarr0)lim (sinx)/x is equal to:

The value of lim_(xto1^(+))(int_(1)^(x)|t-1|dt)/(sin(x-1)) is:

Evaluate: underset(0)overset(1)int|3x-1|dx

underset(xrarr0)lim (sqrt(1+x)-1)/x is equal to:

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)
  1. If [int0^1(dt)/(t^2+2tcosalpha+1)]x^2-[int- 3^3(t^2sin2t)/(t^2+1)dt]x-...

    Text Solution

    |

  2. Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...

    Text Solution

    |

  3. If a, b and c are real numbers, then the value of underset(trarr0)(lim...

    Text Solution

    |

  4. The value of ("lim")(nvecoo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+s...

    Text Solution

    |

  5. Let f(x) =int-1^x e^(t^2) dt and h(x)=f(1+g(x)), where g (x) is define...

    Text Solution

    |

  6. If f be a function satisfying f(x+y)=f(x)+f(y),AAx,yinR. If f(1) = k, ...

    Text Solution

    |

  7. Let f(x)=int(2)^(x)(dt)/(sqrt(1+t^(4)) and g be the inverse of f. ...

    Text Solution

    |

  8. For f(x) =x^(4) +|x|, let I(1)= int (0)^(pi)f(cos x) dx and I(2)= int(...

    Text Solution

    |

  9. Let f be a positive function. Let I(1)=int(1-k)^(k)x f[x(1-x)]dx , I(...

    Text Solution

    |

  10. Suppose that the quadratic function f(x) = ax^(2) + bx +c is non-negat...

    Text Solution

    |

  11. Let I (a) =int(0)^(pi) ((x)/(a)+ a sin x)^(2) dx where a is positive r...

    Text Solution

    |

  12. The set of value of 'a' which satisfy the equation int0^2(t-log2a)dt...

    Text Solution

    |

  13. lim(x rarr infty) (x^(3) int(-1//x)^(1//x)("In" (1+t^(2)))/(1+e^(t)) d...

    Text Solution

    |

  14. The value of sqrt(pi(int(0)^(2008)x| sinpi x| dx)) is equal to

    Text Solution

    |

  15. lim(n rarr infty) sum(k=1)^(n) (k)/(n^(2)+k^(2)),x gt 0 is equal to

    Text Solution

    |

  16. Let a gt 0 and f(x) is monotonic increase such that f(0)=0 and f(a)=b...

    Text Solution

    |

  17. Evaluate the definite integral: int0^1((xdx)/(1+x))

    Text Solution

    |

  18. The value of int (0)^(infty)e^-(a^(2)x) dx is equal to

    Text Solution

    |

  19. lim(lamda to 0)(int(0)^(1) (1+x)^(lambda ) dx)^(1//lambda) Is equal t...

    Text Solution

    |

  20. If 2f (x) +f (-x)=(1)/(x) sin (x-(1)/(x)), then the value of int(1//e...

    Text Solution

    |