Home
Class 12
MATHS
Evaluate int(0)^(10pi)[tan^(-1)dx, where...

Evaluate `int_(0)^(10pi)[tan^(-1)dx`, where `[x]` represents greatest integer function.

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

Evaluate: int_0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.

The integral I=int_(0)^(100pi)[tan^(-1)x]dx (where, [.] represents the greatest integer function) has the vlaue K(pi)+ tan(p) then value of K + p is equal to

The value of int_(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greatest integer functionof x) is equal to

Find the value of int_(0)^(4)[x]dx , where [.] represents the gretest integer function.

Evaluate: int_0^(100)x-[x]dx where [dot] represents the greatest integer function).

Evaluate: int_0^(100)(x-[x]dx(w h e r e[dot] represents the greatest integer function).

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate int_(0)^(oo)[(3)/(x^(2)+1)]dx where [.] denotes the greatest integer function.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Two tangents to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 having m1a n d...

    Text Solution

    |

  2. If int(0)^(oo) (sinx)/x dx=(pi)/2, then int(0)^(oo) (sin^(3)x)/x dx i...

    Text Solution

    |

  3. Evaluate int(0)^(10pi)[tan^(-1)dx, where [x] represents greatest integ...

    Text Solution

    |

  4. For x in R and a continuous function f, let I1=int(sin^2t)^(1+cos^2t)...

    Text Solution

    |

  5. The area enclosed by the curve y=sqrt(4-x^2),ygeqsqrt(2)sin((xpi)/(2sq...

    Text Solution

    |

  6. The area bounded by y = x |sinx| and x - axis between x = 0, x = 2pi i...

    Text Solution

    |

  7. The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s...

    Text Solution

    |

  8. If int2^xg(t)dt=(x^2)/2+intx^2t^2g(t)dt , then equation g(x)=lambda ha...

    Text Solution

    |

  9. If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b...

    Text Solution

    |

  10. The number of ordered quadruples (a1,a2,a3,a4) of positive odd integer...

    Text Solution

    |

  11. Find the value of lambda so that the four points, A, B, C and D wit...

    Text Solution

    |

  12. If vec a , vec b ,a n d vec c are three non-coplanar non-zero vec...

    Text Solution

    |

  13. A six-faced dice is so biased that it is twice as likely to show an ev...

    Text Solution

    |

  14. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  15. In a multiple choice question, there are four alternative answers of w...

    Text Solution

    |

  16. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  17. The equation |{:((1+x)^(2),(1-x)^(2),-(2+x^(2))),(2x+1,3x,1-5x),(x+1,2...

    Text Solution

    |

  18. The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from th...

    Text Solution

    |

  19. If A and B are two sets, then A nn (A uu B) equals (A-B)uu(B-A)uu(AnnB...

    Text Solution

    |

  20. Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the...

    Text Solution

    |