Home
Class 12
MATHS
If I=int(0)^(1) (dx)/(1+x^(4)), then...

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

A

`I gt 0.78`

B

`I lt 0.78`

C

`I gt 1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

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

If I=int_(0)^(1)(1)/(1+x^(8))dx then:

If I_(1)=int_(0)^(oo) (dx)/(1+x^(4))dx and I_(2)underset(0)overset(oo)int dx"then"n (I_(1))/(I_(2))=

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

If I=int_(0)^(1) (1)/(1+x^(pi//2))dx then

I=int_(0)^(1)((1+x)/(2-x))dx

Let I_1=int_0^1 (dx)/(1+x^(1/3)) and I_2=int_0^1 (dx)/(1+x^(1/4)) then 4I_1+3I_2=

Let I= int_(0)^(1) (x^(x))/( x+1) dx, then the vlaue of the intergral int_(0)^(1) (xe^(x^(2)))/( x+1) dx, is

If I=int_(0)^(1) (1+e^(-x^2)) dx then, s

If I=int_(0)^(1)(dx)/(1+sqrt(x)),J=int_(0)^(1)(dx)/(1+root(3)(x)) ,then the value of 3I+2J is

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. If F(x)and g(x) are two integralable functions defined on [a,b], the...

    Text Solution

    |

  2. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

    Text Solution

    |

  3. If I=int(0)^(1) (dx)/(1+x^(4)), then

    Text Solution

    |

  4. The value of int(-1)^(1) x|x|dx, is

    Text Solution

    |

  5. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

    Text Solution

    |

  6. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

    Text Solution

    |

  7. Assuming that f is everywhere continuous, (1)/(c )int(ac)^(bc)f((x)/(c...

    Text Solution

    |

  8. (d)/(dx)(int(f(x))^(g(x)) phi(t)dt) is equal to

    Text Solution

    |

  9. If f(x)=ae^(2x)+be^(x)+c x satisfies the conditions f(0)=-1, f'(log 2)...

    Text Solution

    |

  10. The value of int(0)^(2) |cos((pix)/(2))| is

    Text Solution

    |

  11. If int(0)^(1) cot^(-1)(1-x-x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

    Text Solution

    |

  12. If 0 lt a lt 1, then int(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

    Text Solution

    |

  13. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

    Text Solution

    |

  14. f(x)=|{:(sec x,cos x,,sec^(2) x+cosecx cot x),(cos^(2) x,cos^(2) x,,co...

    Text Solution

    |

  15. If a is a fixed real number such that f(a-x)+f(a+x)=0, then int(0)^(2a...

    Text Solution

    |

  16. The value of int(0)^(1) log((4+3 sin x)/(4+3 cos x))dx, is

    Text Solution

    |

  17. The value of int(0)^(1) tan^(-1)((2x-1)/(1+x-x^(2)))dx is

    Text Solution

    |

  18. The value of int(0)^(2pi) |cos x -sin x|dxis

    Text Solution

    |

  19. If I(1)=int(0)^(1) 2^(x^(2)) dx, I(2)=int(0)^(1) 2^(x^(3)) dx, I(3)=in...

    Text Solution

    |

  20. Consider the integrals I(1)=int(0)^(1)e^(-x)cos^(2)xdx,I(2)=int(0)^(...

    Text Solution

    |