Home
Class 12
MATHS
STATEMENT 1 : The value of int0^1tan^(-1...

STATEMENT 1 : The value of `int_0^1tan^(-1)((2x-1)/(1+x-x^2))` `dx=0`
STATEMENT 2 : `int_a^bf(x)dx=int_0^bf(a+b-x)dx`
then Which of the following statement is correct ?

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)"tan"^(-1)(2x-1)/(1+x-x^(2))dx

Evaluate: int_0^(1)sin^(-1)((2x)/(1+x^2))dx

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

The value of int_(0)^(1)(dx)/(x^(2)+1) is-

Find the value of int_0^1x(1-x)dx

int_(0)^(1)tan^(-1)(1-x+x^(2))dx

int_0^1 tan^(-1) ((2x-1)/(1+x-x^2)) dx is equal to

The value of int_0^1 (8log(1+x))/(1+x^2) dx is

The value of int_0^(pi/2)dx/(1+tan^3x) is

int_(0)^(1)x(tan^(-1)x)^(2)dx

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. STATEMENT 1 : The value of int(-4)^(-5)sin(x^2-3)dx+int(-2)^(-1)sin(x^...

    Text Solution

    |

  2. Evaluate: int0^(2pi)[sinx]dx ,where[dot] denotes the greatest inte...

    Text Solution

    |

  3. STATEMENT 1 : The value of int0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STA...

    Text Solution

    |

  4. Evaluate: int0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest int...

    Text Solution

    |

  5. STATEMENT 1 : On the interval [(5pi)/4,(4pi)/3]dot the least value of ...

    Text Solution

    |

  6. Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest ...

    Text Solution

    |

  7. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...

    Text Solution

    |

  8. Evaluate: int0^((5pi)/(12))[tanx]dx , where [dot] denotes the grea...

    Text Solution

    |

  9. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

    Text Solution

    |

  10. Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...

    Text Solution

    |

  11. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

    Text Solution

    |

  12. if [x] denotes the greatest integer less than or equal to x then integ...

    Text Solution

    |

  13. The value of int0^(2pi)[2sinx]dx ,w h e r e[dot] represents the great...

    Text Solution

    |

  14. f(x)=int1^x(tan^(-1)(t))/t dt \ AAx in R^+, then find the value of f...

    Text Solution

    |

  15. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)])dx , ...

    Text Solution

    |

  16. Find the points of minima for f(x)=int0^x t(t-1)(t-2)dt

    Text Solution

    |

  17. Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...

    Text Solution

    |

  18. If g(x)=int0^xcos^4tdt , then g(x+pi) equals (a)g(x)+g(pi) (b) g(...

    Text Solution

    |

  19. Evaluate lim(x to 4)int4^x((4t-f(t)))/((x-4))dt

    Text Solution

    |

  20. Evaluate: int(pi/4)^((3pi)/4)dx/(1+cosx)

    Text Solution

    |