Home
Class 12
MATHS
int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot...

`int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=`

A

`-pi`

B

`pi`

C

`pi//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • TIPS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|37 Videos
  • TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)|125 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

sin{cot^(-1)[cos(tan^(-1)x)]}=....

cos[tan^(-1){sin(cot^(-1)x)}] is equal to

sin {cot^(-1)[tan (cos^(-1)x)]=

int_(-1)^(1)(sin x)^(5)(cos x)^(4)dx=

Evaluate: sin(cot^(-1)x)( ii) cos(tan^(-1)x)

int(tan(cos^(-1)x)+cot(sin^(-1)x))/(sqrt(1-x^(2)))dx=

If A=sin[cot^(-1){cos(tan^(-1)x)}], then

sin[cot^(-1) {tan(cos^(-1)x)}] is equal to

FIITJEE-TIPS-OBJECTIVE
  1. int e^(x)((2 tanx)/(1+tanx)+cot^(2)(x+(pi)/(4)))dx is equal to

    Text Solution

    |

  2. The solution of the differential equation y^(2)dx+(x^(2)-xy + y^(2))dy...

    Text Solution

    |

  3. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

    Text Solution

    |

  4. Let f(x)={{:(x|x|",", x le -1),([x+1]+[1-x]",",-1ltxlt1),(-x|x|",",x g...

    Text Solution

    |

  5. If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 and int0^1 f(x)dx=(2A)/pi then ...

    Text Solution

    |

  6. The value of int(a)^(b)(x-a)^(3)(b-x)^(4)dx is ((b-a)^(m))/(n). Then (...

    Text Solution

    |

  7. Let f(x) be maximum and g(x) be minimum of {x|x|, x^(2)|x|} then int(-...

    Text Solution

    |

  8. If int(cos^(2)x)/(sin^(6)x)dx=A cot^(5)x+B cot^(3)x+k, then A+B equals

    Text Solution

    |

  9. If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) ...

    Text Solution

    |

  10. int (sin2x)/(3+4cosx)^3 dx=

    Text Solution

    |

  11. (x dy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx

    Text Solution

    |

  12. Let R be the set of all real numbers. The function f:Rrarr R defined b...

    Text Solution

    |

  13. The range of the function f(x)=1/abs(sinx)+1/abs(cosx) is

    Text Solution

    |

  14. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  15. Through any point (x, y) of a curve which passes through the origin, l...

    Text Solution

    |

  16. The function f(x)=cos x - 2ax is monotonically decreasing when-

    Text Solution

    |

  17. Consider the integrals I(1)=overset(1)underset(0)inte^(-x)cos^(2)xdx...

    Text Solution

    |

  18. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)]dx , I2=i...

    Text Solution

    |

  19. The vaue of int(0)^(1)xlogx dx must be

    Text Solution

    |

  20. int dx/sqrt(x+xsqrtx) equals

    Text Solution

    |