Home
Class 12
MATHS
The value of int(-2pi)^(5pi)cot^(-1)(tan...

The value of `int_(-2pi)^(5pi)cot^(-1)(tanx)dxi se q u a lto` `(7pi)/2` (b) `(7pi^2)/2` (c) `(3pi)/2` (d) None of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-2 pi)^(5 pi)cot^(-1)(tan x)dx is equal to (7 pi)/(2)(b)(7 pi^(2))/(2)(c)(3 pi)/(2) (d) None of these

The value of int_(-(pi)/(2))^((pi)/(2))[cot^(-1)x]dx

int_0^21/(1+tanx)dx is equal to (pi^)/4 (b) (pi^)/3 (c) (pi^)/2 (d) pi

If I=int_(-2pi)^(5pi) cot^-1(tanx)dx . Then, 2I/pi^2 is ….

The value of int_(-pi/2)^(pi/2) (sin^2x)/(1+2^x)dx is: (A) pi (B) pi/2 (C) 4pi (D) pi/4

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

The value of int_(0)^((pi)/(2))(dx)/(1+tan^(3)x) is (a) 0(b)1(c)(pi)/(2)(d)pi

The principal value of sin^(-1)(sin((2 pi)/(3))) is (a)-(2 pi)/(3) (b) (2 pi)/(3) (c) (4 pi)/(3) (d) (5 pi)/(3) (e) none of these

int_0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these

RESONANCE DPP-JEE MAINS-All Questions
  1. The function f(x) = sin x-x cos x is: (A).maximum or minimum for a...

    Text Solution

    |

  2. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  3. The value of int(-2pi)^(5pi)cot^(-1)(tanx)dxi se q u a lto (7pi)/2 (...

    Text Solution

    |

  4. If P(A)=0. 59 ,P(B)=0. 30P(AnnB)=0. 21 , then P(A^(prime)nnB^(prime)...

    Text Solution

    |

  5. Evaluate the following: lim(xrarr0)(sin^2 2x)/(tan^2 3x)

    Text Solution

    |

  6. Domain of the function f(x)=sqrt(cos(s in x))+sin(x^2-1)i s [-1,1] [-...

    Text Solution

    |

  7. If two events A and B are such that P(A^c)=0. 3. P(B^c)=0. 4 a n d P...

    Text Solution

    |

  8. Evaluate the following: lim(xrarr0) sin^2 (x/2)/(x^2)

    Text Solution

    |

  9. tan(tan^(-1)5+cot^(-1)1/3) 4/7 b. -4/7 c. 3/7 d. not defined

    Text Solution

    |

  10. If in a A B C , =a^2-(b-c)^2, then tanA is equal to 15//16 b. 8...

    Text Solution

    |

  11. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

    Text Solution

    |

  12. The value of cos^(-1)(cos 12)-sin^(-1)(s in 14) is -2 b. 8pi-26 c. 4pi...

    Text Solution

    |

  13. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

    Text Solution

    |

  14. Evaluate the following: lim(xrarr0)(sin^2 3x sin5x)/(tan^2 5x tan (x/2...

    Text Solution

    |

  15. Range of the function f(x)=tan^(-1)sqrt([x]+[-x])+sqrt(2-|x|)+1/(x^...

    Text Solution

    |

  16. 4 people are selected randomly out of six married couple. Find the ...

    Text Solution

    |

  17. Evaluate the following: lim(xrarr0)(sqrt(a+x)-sqrt(a-x))/x

    Text Solution

    |

  18. If cos^(-1)(n)/(2pi)gt(2pi)/(3) then maximum and minimum values of int...

    Text Solution

    |

  19. If omega be a complex cube root of unity, then the number (1-omega-om...

    Text Solution

    |

  20. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |