Home
Class 12
MATHS
The value of int(In2)^(In3) (x sinx)dx i...

The value of `int_(In2)^(In3) (x sinx)dx` is

A

`(1)/(4) log(3)/(2)`

B

`(1)/(2) log(3)/(2)`

C

`log (3) /(2)`

D

`(1)/(6) log (3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|4 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 value of int_(-2)^(2) x dx is equal to

Evaluate int_(0)^(pi//2)(sinx)/(sinx)dx

int_-3^3(x+sinx)dx is equal to :

int_-2^2(x+sinx)dx is equal to :

Evaluate : int(sinx)/(sin3x)dx

int x/(1-sinx )dx

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is

    Text Solution

    |

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

    Text Solution

    |

  3. The value of int(In2)^(In3) (x sinx)dx is

    Text Solution

    |

  4. Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int1...

    Text Solution

    |

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

    Text Solution

    |

  6. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^...

    Text Solution

    |

  7. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

    Text Solution

    |

  8. Which of the following is true?

    Text Solution

    |

  9. f(x)={(x-[x]",",if[x] "is odd"),(1+[x]-x",",if[x]" is even"):} Then,...

    Text Solution

    |

  10. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

  11. Let I(n)=int(-pi)^(pi)(sin x)/((1+pi^(x))sin x )dx, n=0,1,2,... The va...

    Text Solution

    |

  12. Let S(n)=sum(k=1)^(n)n/(n^(2)+kn+k^(2)) and T(n)=sum(k=0)^(n-1)n/(n^(2...

    Text Solution

    |

  13. Then integral int(pi//4)^((3pi)/4) (dx)/(1+cosx) is equal to

    Text Solution

    |

  14. "Let " I(n)=int tan^(n)x dx,(n gt 1). I(4)+I(6)=a tan^(5)x+bx^(5)+C, "...

    Text Solution

    |

  15. lim(nto oo)[((n+1)(n+2)…3n)/(n^(2n))]^(1//n) is equal to

    Text Solution

    |

  16. The integral int(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is e...

    Text Solution

    |

  17. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to...

    Text Solution

    |

  18. Prove that the value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt(c...

    Text Solution

    |

  19. The intercepts on x- axis made by tangents to the curve, y=int(0)^(x)|...

    Text Solution

    |

  20. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals to (a)(g(x))/(g(pi)...

    Text Solution

    |