Home
Class 12
MATHS
The value of int(pi/6)^((5pi)/6)sqrt(4-4...

The value of `int_(pi/6)^((5pi)/6)sqrt(4-4sin^2t)dt`

A

0

B

2

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

Find the values of: int_(0)^((pi)/(4))sqrt(1-sin2x)dx

The value of int_((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal to -

The value of int_0^(pi/4)sin2xdx is

The value of int_(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to -

Find the values of: int_(0)^((pi)/(2))sin^(4)xdx and

The value of the integral int_((pi)/(6))^((pi)/(2))((1+sin2x+cos2x)/(sinx+cosx))dx is equal to-

The value of int_(-pi//2)^(pi//2)dx/([x]+[sinx]+4) where [t] denotes the greatest integer less or equal to t, is

The value of int_((pi)/(4))^((3pi)/(4))(dx)/(1+cosx) is -

The value of the integral int_(pi/6)^(pi/2) ((1 + sin 2x + cos 2x)/(sin x + cosx)) dx is

The value of the integral int_(-(3pi)/4)^((5pi)/4)((sinx+cosx)/(e^(x-pi/4)+1))dx (A) 0 (B) 1 (C) 2 (D) none of these

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. if I10=int0^(pi/2) x^(10) sinx dx then the value of I10 + 90 I8 is

    Text Solution

    |

  2. If an= int0^(pi/4) cot^nx dx then a2+a4 , a3+a5 , a4+a6

    Text Solution

    |

  3. The value of int(pi/6)^((5pi)/6)sqrt(4-4sin^2t)dt

    Text Solution

    |

  4. int0^infty[2/lnx] dx where [] denotes the greatest integer equals

    Text Solution

    |

  5. if int2^e [(1/logx)-(1/(logx)^2)] dx=a+(b/log2)' then

    Text Solution

    |

  6. If I=abs(int2^6 (sinx dx)/(1+x^2) then

    Text Solution

    |

  7. Let f(x) =int(-1)^x abs(x+1) dx then

    Text Solution

    |

  8. If a continous function f satisfies int0^f(x) t^2 dt=x^2(1+x) for all ...

    Text Solution

    |

  9. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

    Text Solution

    |

  10. A line tangent to the graph of the function y=f(x) at the pointx =a fo...

    Text Solution

    |

  11. The value of int0^(pi/2)log(tanx)dx is

    Text Solution

    |

  12. int(pi/2)^(3pi/2) [2sinx]dx is equal to [x] denotes the greatest integ...

    Text Solution

    |

  13. The value of the integral int0^3 dx/((sqrt(x+1) +sqrt(5x+1)) is

    Text Solution

    |

  14. The solution of the equation intsqrt2^x dx/(xsqrt(x^2-1)=pi/12 is give...

    Text Solution

    |

  15. The value of int(1/e^2)^e abs(logx)dx is

    Text Solution

    |

  16. The integral int0^(pi/2) dx/(x+sqrt(a^2-x^2)) equals

    Text Solution

    |

  17. If I=int0^(pi/4)log(1+tanx) dx then I is equal to

    Text Solution

    |

  18. The value of int(in2)^sqrt(in3) (xsinx^2)/(sinx^2+sin(In6-x^2)dx is

    Text Solution

    |

  19. The value of int0^1 (8log(1+x))/(1+x^2) dx is

    Text Solution

    |

  20. Th value of int(-2)^(2) (xcosx+sinx+1) dx is

    Text Solution

    |