Home
Class 12
MATHS
ifI=int(1/3)^3 1/xsin (1/x-x)dx then I e...

if`I=int_(1/3)^3 1/xsin (1/x-x)dx` then I equals

A

`sqrt3/2`

B

`pi+sqrt3/2`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos
  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

if I=int_(-1)^2abs(xsinpix)dx then I equals

if I=int_(1/e)^e abslogx dx/x^2 then I equals

I=int_(-2)^2(abs(1-x^4))dx then I equals

if I=int_8^15 dx/((x-3)sqrt(x+1)) then I equals

if I=int_0^(1.7)[x^2]dx then I equals

if ngt1 and I=int_0^infty dx/((x+sqrt(1+x^2))^n then I equals

If f(x) =(e^x)/(1+e^x), I_1=int_(f(-a))^(f(a)) xg(x(1-x))dx , and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx, then the value of (I_2)/(I_1) is

If I=int_0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1)I is_____

"If " I=int e^(-x)log(e^(x)+1)dx, " then " I " equals "

if 0ltalphalt1 and I=int_(-1)^1dx/(sqrt(1-2alphax+alpha^2) then I equals

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. let T le0 be a fixed real number suppose f is continuous function such...

    Text Solution

    |

  2. ifI=int0^(pi/2)( sin8xlog(cotx))/(cos2x)dx then I equals

    Text Solution

    |

  3. ifI=int(1/3)^3 1/xsin (1/x-x)dx then I equals

    Text Solution

    |

  4. if b gt a and I=inta^b dx/(sqrt((x-a)(b-x) then I equals

    Text Solution

    |

  5. if I=int0^(pi/2) dx/(5+3sinx)=lambdatan^(-1)(1/2) then value oflambda ...

    Text Solution

    |

  6. if I=int(1/e)^e abslogx dx/x^2 then I equals

    Text Solution

    |

  7. The natural number nle5 for which In=int0^1 e^x(x-1)^n dx=16-6e is

    Text Solution

    |

  8. ifI=int0^a sqrt((a-x)/(a+x))dx, agt0 Then I equals

    Text Solution

    |

  9. Evaluate: int0^(pi/2)sin^3x cosxdx

    Text Solution

    |

  10. let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...

    Text Solution

    |

  11. If f(x) ge 0 for all x in [0,10] and int0^8 f(x)dx=0 then f(7) is

    Text Solution

    |

  12. ifint0^f(x) tdt=pic os pix then f(4) is equal to

    Text Solution

    |

  13. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

    Text Solution

    |

  14. int0^(pi/4)sinxd(x-[x]) is equal to

    Text Solution

    |

  15. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

    Text Solution

    |

  16. value of underset(nrarrinfty)lim((n !)/n^n)^(1/n),where n inN is equal...

    Text Solution

    |

  17. int(-1)^1 max (2-x,2,1+x)dx is

    Text Solution

    |

  18. The value of int(-1)^2abs([x]-{x})dx where [x] is the greatest integer...

    Text Solution

    |

  19. if I=int0^(1.7)[x^2]dx then I equals

    Text Solution

    |

  20. int(-1)^1(x-abs(2x))dx is equal to

    Text Solution

    |