Home
Class 12
MATHS
If I1=int(-1)^1(tan^(-1)x+1/x)dx&I2=int(...

If `I_1=int_(-1)^1(tan^(-1)x+1/x)dx&I_2=int_(-1)^1(cot^(-1)x+cot^(-1)1/x)dx ,` then `I_1=I_2+2pi` (b) `I_1=I_2` `I_2=2pi+I_1` (d) `I_1=pi`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If I_1=int_(-1)^1(tan^(-1)x+tan^(-1)(1/x))dx&I_2=int_(-1)^1(cot^(-1)x+cot^(-1)(1/x))dx , then (a) I_1=I_2+2pi (b) I_1=I_2 (c) I_2=2pi+I_1 (d) I_1=pi

I=int_(0)^( pi/4)(tan^(-1)x)^(2)/(1+x^2)dx

I=int(1)/(x^(2))sin[(1)/(x)]dx

If I_(1)=int_(1-x)^(x) x sin{x(1-x)}dx and I_(2)=int_(1-x)^(x) sin{x(1-x)}dx , then

If I_(1)=int_(0)^(2pi)sin^(3)xdx and I_(2)=int_(0)^(1)ln((1)/(x)-1)dx , then

If I_(1)=int_(e)^(e^(2))(dx)/(lnx) and I_(2) = int_(1)^(2)(e^(x))/(x) dx_(1) then

If I_(1)=int_(3pi)^(0) f(cos^(2)x)dx and I_(2)=int_(pi)^(0) f(cos^(2)x) then

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

Let I_(1)=int_(0)^(1)(|lnx|)/(x^(2)+4x+1)dx and I_(2)=int_(1)^(oo)(lnx)/(x^(2)+4x+1)dx , then

If I_1=int_0^1(e^x)/(1+x) dx aand I_2=int_0^1 x^2/(e^(x^3)(2-x^3)) dx then I_1/I_2 is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Three digit numbers in which the middle one is a perfect square are fo...

    Text Solution

    |

  2. Differentiate the following functions with respect to x f(x)=sqrt(x)+...

    Text Solution

    |

  3. If I1=int(-1)^1(tan^(-1)x+1/x)dx&I2=int(-1)^1(cot^(-1)x+cot^(-1)1/x)dx...

    Text Solution

    |

  4. The number of different seven digit numbers that can be written using ...

    Text Solution

    |

  5. Differentiate the following functions with respect to x:- sec(-1/x)+2...

    Text Solution

    |

  6. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  7. Differentiate the following function from first principles: e^(-x)

    Text Solution

    |

  8. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  9. Differentiate the following function with respect to x from first prin...

    Text Solution

    |

  10. Ten IIT and 2DCE students sit in a row. The number of ways in which...

    Text Solution

    |

  11. The function u=e^x sin x ; v=e^x cos x satisfy the equation a.v(d u...

    Text Solution

    |

  12. Number of ways in which 7 people can occupy 6 seats, 3 seats on eac...

    Text Solution

    |

  13. Differentiate the following function with respect to x from first prin...

    Text Solution

    |

  14. If y=x+e^x , find (d^2x)/(dy^2) .

    Text Solution

    |

  15. Differentiate the following functions with respect to x: log(x+sqrt...

    Text Solution

    |

  16. Find the number of ways in which 5A^(prime)s and 6B ' s can be arrange...

    Text Solution

    |

  17. If u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b)) is equal to a.(d^n)/(d u^n...

    Text Solution

    |

  18. All the five-digit numbers N=abcde having property a lt b lt c lt d lt...

    Text Solution

    |

  19. Evaluate the following limit: (lim)(x->0)(sin3x-sin x)/(sinx)

    Text Solution

    |

  20. If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(...

    Text Solution

    |