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

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 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

MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
  1. If int(0)^(1)(1)/(e^(x)+e^(-x))dx = tan^(-1)p, then : p =

    Text Solution

    |

  2. int(0)^(pi//2)(sin 8x.log(cot x))/(cos 2x)dx=

    Text Solution

    |

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

    Text Solution

    |

  4. int(0)^(pi)(cos x)/(x^(4)+(pi-x)^(4))dx=

    Text Solution

    |

  5. If I(n)=int(0)^(pi//4)tan^(n)x dx, where n ge 2, then : I(n-2)+I(n)=

    Text Solution

    |

  6. Find the value of int0^1x(1-x)^ndx

    Text Solution

    |

  7. If inta^b x^3dx=0,a n d"I f"inta^b x^2dx=2/3,"f i n dr e a lv a l u...

    Text Solution

    |

  8. Evaluate the following: int0^(pi//4) (sin^2 x \ cos^2 x)/(sin^3x + cos...

    Text Solution

    |

  9. If f(x)=f(4-x), g(x)+g(4-x)=3 and int(0)^(4)f(x)dx=2, then : int(0)^(4...

    Text Solution

    |

  10. If f(a-x)=f(x) and int(0)^(a//2)f(x)dx=p, then : int(0)^(a)f(x)dx=

    Text Solution

    |

  11. Evaluate: int(-1/2)^(1/2)cosxlog(1-x)/(1+x)dx

    Text Solution

    |

  12. int(-pi)^(pi)(1-x^(2))sin x cos^(2)x dx=

    Text Solution

    |

  13. If {:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):} ...

    Text Solution

    |

  14. If 0 le alpha le 2pi and int(0)^(alpha)cos x dx = cos 2alpha, the : al...

    Text Solution

    |

  15. int(-2)^(3)[cot^(-1)((x-1)/(x+1))+cot^(-1)((x+1)/(x-1))]dx=

    Text Solution

    |

  16. If f(x)+f(pi-x)=1 and g(x)+g(pi-x)=1, then : int(0)^(pi)[f(x)+g(x)]dx=

    Text Solution

    |

  17. int(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

    Text Solution

    |

  18. If int(-3)^(2)f(x)dx=2 and int(2)^(5)[5+f(x)]dx=9, then : int(5)^(-3)f...

    Text Solution

    |

  19. If (d)/(dx)[g(x)]=f(x), then : int(a)^(b)f(x)g(x)dx=

    Text Solution

    |

  20. If int(0)^(1)f(x)dx=1, int(0)^(1)x f(x)dx=a and int(0)^(1)x^(2)f(x)dx=...

    Text Solution

    |