Home
Class 12
MATHS
The integral int(pi//6)^(pi//4)dx/(sin2x...

The integral `int_(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))`equal

A

`(1)/(5)((pi)/(4)-tan^(-1)((1)/(sqrt(3sqrt(3)))))`

B

`(1)/(10)((pi)/(4)-tan^(-1)((1)/(9sqrt(3))))`

C

`(pi)/(40)`

D

`(1)/(20)tan^(-1)((1)/(9sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise Level - 1|190 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

The integral int_(pi//6)^(pi//4)(dx)/(sin2x(tan^(5)x+cot^(5)x)) equals

The value of the integral int_(pi//6)^(pi//3)(dx)/(1+tan^(5)x) is

Statement-1: The value of the integral int_(pi//6)^(pi//3) (1)/(1+sqrt(tan)x)dx is equal to (pi)/(6) Statement-2: int_(a)^(b) f(x)dx=int_(a)^(b) f(a+b-x)dx

Evaluate the following definite integral: int_(-pi//4)^(pi//4)1/(1+sin x)dx

Evaluate the following definite integral: int_(pi//3)^(pi//4)(t a n x+cot x)^2dx

The value of the definite integral int _(-(pi//2))^(pi//2)(cos ^(2) x )/(1+ 5 ^(x)) equal to:

Evaluate the following integral : int_(pi//6)^(pi//3)(t a n x+cot x)^2dx

The value of the integral int_(-3pi//4)^(5pi//4)((sinx+cosx))/(e^(x-pi//4)+1)dx is

Evaluate of each of the following integral: int_(-pi//4)^(pi//4)(tan^2x)dx

The value of the integral int_(-pi//4)^(pi//4) sin^(-4)x dx , is

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Main (Archive)
  1. Using integration, find the area bounded by the curve x^2=4y and the l...

    Text Solution

    |

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

    Text Solution

    |

  3. The integral int(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))equal

    Text Solution

    |

  4. The area (in sq. units) of the region bounded by the parabola y=x^2+2"...

    Text Solution

    |

  5. Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" an...

    Text Solution

    |

  6. The integral underset1overseteint{(x/e)^(2x)-(e/x)^x}logexdx is equal ...

    Text Solution

    |

  7. The area (in sq. units) of the region A={(x,y)in R xx R |0 le x le 3, ...

    Text Solution

    |

  8. If f(x)=(2-xcosx)/(2+xcosx)andg(x)= "log"(e)x, (xgt0) then the value ...

    Text Solution

    |

  9. Let f ( x) = int 0 ^ x g (t) dt , where g is a non - ze...

    Text Solution

    |

  10. Let f(x,y) = {(x,y): y^(2) le 4x,0 le x le lambda} and s(lambda) is a...

    Text Solution

    |

  11. int(0)^((pi)/(2))(sin^(3)x)/(sinx+cosx)dx is equal to

    Text Solution

    |

  12. The area (in sq. units) of the region {(x,y) in R^(2) : x^(2) le y le ...

    Text Solution

    |

  13. The value of the integral int(0)^(1)xcot^(-1)(1-x^(2)+x^(4))dx is

    Text Solution

    |

  14. The area (in sq. units) of the region A = {(x,y), y^(2)//2 le x le y +...

    Text Solution

    |

  15. The value of int(0)^(2pi)[sin2x (1+cos 3x)]dx, where [t] denotes the g...

    Text Solution

    |

  16. The region represented by |x-y|le 2 and |x +y| le 2 is bounded by a:

    Text Solution

    |

  17. The integral int sec^(2//3)x cosec^(4//3)x dx is equal to : (Here ...

    Text Solution

    |

  18. The area (in sq. units) of the region bounded by the curves y=2^(x) an...

    Text Solution

    |

  19. If int(0)^(pi//2) (cot x)/(cot x+cosecx)dx=m(pi+n), then m*n is equal ...

    Text Solution

    |

  20. If the area (in sq. units) of the region {(x,y): y^(2) lt= 4x,x+y lt...

    Text Solution

    |