Home
Class 12
MATHS
If I=int(pi/6)^(pi/6) (pi+4x^5)/(1-sin(a...

If `I=int_(pi/6)^(pi/6) (pi+4x^5)/(1-sin(absx+pi/6))dx` then I equals

A

`4pi`

B

`2pi+1/sqrt3`

C

`2pi-sqrt3`

D

`4 pi +sqrt3-1/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
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

I= int_(-pi)^(pi) (e^sinx)dx)/(e^sinx +e^(-sinx) then I equals

int_(pi)^(16pi) |sin x| dx =

Let I= int_(pi//4)^(pi//3) (sinx)/(x)dx . Then

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

int_(-pi/2)^(pi/2) sinabs(x) dx is equal to

int(sinx)/(sin(x-(pi)/(4)))dx " is equal to "

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

int_(-pi)^(pi)(2x(1+sin x))/(1+cos^(2)x)dx

Find the value of int_(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|+pi/3))dx

(pi)/(6) radians equals to

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. The value of (n!)/((n-2)!) ia

    Text Solution

    |

  2. The value of int(-2)^2 (sin^2x)/([x/pi]+1/2) dx where [x] denotes the ...

    Text Solution

    |

  3. If I=int(pi/6)^(pi/6) (pi+4x^5)/(1-sin(absx+pi/6))dx then I equals

    Text Solution

    |

  4. I=int(-2)^2(abs(1-x^4))dx then I equals

    Text Solution

    |

  5. I=int-1^1([x^2]+log((2+x)/(2-x))dx....(1) where [x] denotes the greate...

    Text Solution

    |

  6. if f(x) is a function such that f(x+k)=f(x) for K in I^+ and I=int0^k...

    Text Solution

    |

  7. let T le0 be a fixed real number suppose f is continuous function such...

    Text Solution

    |

  8. ifI=int0^(pi/2)( sin8xlog(cotx))/(cos2x)dx then I equals

    Text Solution

    |

  9. ifI=int(1/3)^3 1/xsin (1/x-x)dx then I equals

    Text Solution

    |

  10. if b gt a and I=inta^b dx/(sqrt((x-a)(b-x) then I equals

    Text Solution

    |

  11. if I=int0^(pi/2) dx/(5+3sinx)=lambdatan^(-1)(1/2) then value oflambda ...

    Text Solution

    |

  12. if I=int(1/e)^e abslogx dx/x^2 then I equals

    Text Solution

    |

  13. The natural number nle5 for which In=int0^1 e^x(x-1)^n dx=16-6e is

    Text Solution

    |

  14. ifI=int0^a sqrt((a-x)/(a+x))dx, agt0 Then I equals

    Text Solution

    |

  15. Evaluate: int0^(pi/2)sin^3x cosxdx

    Text Solution

    |

  16. let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...

    Text Solution

    |

  17. If f(x) ge 0 for all x in [0,10] and int0^8 f(x)dx=0 then f(7) is

    Text Solution

    |

  18. ifint0^f(x) tdt=pic os pix then f(4) is equal to

    Text Solution

    |

  19. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

    Text Solution

    |

  20. int0^(pi/4)sinxd(x-[x]) is equal to

    Text Solution

    |