Home
Class 12
MATHS
Let I=overset(1)underset(0)int (sin x)/(...

Let `I=overset(1)underset(0)int (sin x)/(sqrt(x))dx` and`I=overset(1)underset(0)int (cos x)/(sqrt(x))int dx`.
Then, which one of the following is true?

A

`I gt 2//3, J gt 2`

B

`1 lt 2//3, J lt 2`

C

`I lt 2//3, J gt 2`

D

`I gt 2//3, J lt 2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) Numerical Answer Type Questions|19 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

Let I=int_(0)^(1) (sin x)/(sqrt(x))dx and I=int_(0)^(1) (cos x)/(sqrt(x))int dx . Then, which one of the following is true?

(i) int(x)/(1+sqrt(x))dx

(i) int(x)/(1+sqrt(x))dx

"I=int(x)/(sqrt((1-x)))dx

If I=int_(0)^(1//2) (1)/(sqrt(1-x^(2n)))dx then which one of the following is not true ?

If I=int_(0)^(1)(1)/(sqrt(2-x-x^(2)))*dx then which of the following is true

I=int(1)/(x-sqrt(x))dx

I=int(1)/(x+sqrt(x))dx

I=int(1)/(x-sqrt(x))dx

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. Let F (x) = f(x) + f ((1)/(x)), where f (x) = int (1) ^(x ) (log t)/(1...

    Text Solution

    |

  2. The solution for x of the equation int (sqrt2) ^(x) (dt)/( sqrt(t ^(...

    Text Solution

    |

  3. Let I=overset(1)underset(0)int (sin x)/(sqrt(x))dx andI=overset(1)unde...

    Text Solution

    |

  4. int(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, ...

    Text Solution

    |

  5. Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x ...

    Text Solution

    |

  6. The value of int(8 log(1+x))/(1+x^(2)) dx is

    Text Solution

    |

  7. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  8. Let [] denote the greatest integet function then the value int0^1.5 x[...

    Text Solution

    |

  9. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

    Text Solution

    |

  10. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |

  11. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

    Text Solution

    |

  12. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x)) dx is

    Text Solution

    |

  13. Variable x and y are related by equation x =int0^y (dt)/sqrt(1+t^2). ...

    Text Solution

    |

  14. The integral int(7pi//4)^(7pi//3) sqrt(tan^(2) x) dx is equal to

    Text Solution

    |

  15. The integral int0^pisqrt(1+4sin^2x/2-4sinx/2dx) equal (1) pi-4 (2)...

    Text Solution

    |

  16. the integral int0^(1/2) (ln(1+2x))/(1+4x^2) dx equals

    Text Solution

    |

  17. If for n ge 1, P(n) = int(1)^( e) (log x)^(n) dx, then P(10) - 90P(8) ...

    Text Solution

    |

  18. int(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is ...

    Text Solution

    |

  19. If for a continuous function f(x), int(-pi)^(t) (f(x)+ x) dx= pi^(2) -...

    Text Solution

    |

  20. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

    Text Solution

    |