Home
Class 12
MATHS
If A= int(0)^(1) (dx)/(sqrt(1+x^(4))) an...

If `A= int_(0)^(1) (dx)/(sqrt(1+x^(4))) and B= (pi)/(4)` then

A

A=B

B

A= 2B

C

`A lt B`

D

`A gt B`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (1) True and false|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (2) (Multiple Choice Questions)|47 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Miscellaneous Questions (Assertion/Reason)|1 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)(dx)/(sqrt(1+x^(4)))=I, then

int_(0)^(1)(x^(4))/(sqrt(1-x^(5)))dx

int_(0)^(1)x^(4)sqrt(x^(5)+1)dx

int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

int_(0)^(pi//4) (dx)/(1+x^(2))

(1) int_(-1)^(0)(x)/(sqrt(x^(2)+4))*dx

int_(0)^(pi//2)(dx)/((1+sqrt(tanx)))=(pi)/(4)

int_(0)^((pi)/(4))sqrt(tan x)dx

ML KHANNA-DEFINITE INTEGRAL-ProblemSet (1) (Multiple Choice Questions)
  1. If int(-2)^(3) f (x) dx= 5 and int(1)^(3) [2-f(x)] dx=6, then int(-2)^...

    Text Solution

    |

  2. If int(-1)^(4) f(x) dx= 4 and int(2)^(4) [3-f(x)] dx= 7, then the valu...

    Text Solution

    |

  3. The value of the integral Sigma(r=1)^(n) int(0)^(1) f(r-1 +x) dx is

    Text Solution

    |

  4. The value of int(0)^(100) e^(x- [x])dx is

    Text Solution

    |

  5. If f(x) is a function satisfying f((1)/(x)) + x^(2) f(x) =0 for all no...

    Text Solution

    |

  6. If 2f(x) + 3f((1)/(x))= (1)/(x)-2, x ne 0 then int(1)^(2) f(x)dx=

    Text Solution

    |

  7. The value of the integral int(0)^(oo) (x log x)/((1+x^(2))^(2)) dx is

    Text Solution

    |

  8. int(0)^(1) "tan"^(-1) (2x-1)/({1+x-x^(2)})dx=

    Text Solution

    |

  9. The value of int(1//e)^(tan x) (t)/(1+ t^(2)) dt+ int(1//e)^(cot x) (1...

    Text Solution

    |

  10. int(0)^(pi) sin^(5) ((x)/(2))dx equals

    Text Solution

    |

  11. If int(0)^(pi//2) cos^(m) x sin^(m) x dx= lamda int(0)^(pi//2) sin^(m)...

    Text Solution

    |

  12. The value of int(1)^(e^(37)) (pi sin (pi ln x))/(x) dx is

    Text Solution

    |

  13. If int(-2)^(5) f(x) dx= 7.5^(3)- 7(-2)^(3) then f(x) is equal to

    Text Solution

    |

  14. Let (d)/(dx) F (x) = (e^(sin x))/(x), x gt 0. If int(1)^(4) (2xe^(sin ...

    Text Solution

    |

  15. Let (d)/(dx)F (x)= (e^(sin x))/(x), x gt 0. If int(1)^(4) (3x^2)/(x^3)...

    Text Solution

    |

  16. (1)/(c ) int(a c)^(bc) f((x)/(c ))dx=

    Text Solution

    |

  17. If A= int(0)^(1) (dx)/(sqrt(1+x^(4))) and B= (pi)/(4) then

    Text Solution

    |

  18. If g(x)=int(0)^(x)cos^(4) t dt , then g(x+pi) equals

    Text Solution

    |

  19. int(-a)^(a) f (x) dx is equal to

    Text Solution

    |

  20. int(1//2)^(2) |log(10) x| dx=

    Text Solution

    |