Home
Class 12
MATHS
The value of I=int((pi)/(2))^((5pi)/(2))...

The value of `I=int_((pi)/(2))^((5pi)/(2))(e^(tan^(-1))(sinx))/(e^(tan^(-1))(sinx)+e^(tan^(-1))(cosx))dx`, is

A

1

B

`pi`

C

e

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-(pi)/(2))^((pi)/(2))(x^(2)cosx)/(1+e^(x))dx is

The value of int_0^((3pi)/2)(|tan^(-1)(tanx)|-|sin^(-1)(sinx)|)/(|tan^(-1)(tanx)|+|sin^(-1)(sinx)|)dx is equal to

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

The value of int_0^(pi/2)dx/(1+tan^3x) is

The value of int_(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is equal to -

The value of I=int_(0)^(pi)x(sin^(2)(sinx)+cos^(2)(cosx))dx is

int (e^(tan^(-1)x)dx)/((1+x^(2))^(2))

The value of I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)((x)/(2))dx is equal to-

The value of I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)(x//2)dx is equal to

int_(0)^((pi)/(2))(sinx)/(sinx+cosx)dx

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. The value of the integral I=int((1)/(2014))^(2014)(tan^(-1)x)/(x)dx is

    Text Solution

    |

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

    Text Solution

    |

  3. The value of I=int((pi)/(2))^((5pi)/(2))(e^(tan^(-1))(sinx))/(e^(tan^(...

    Text Solution

    |

  4. The value of lim(ntooo)(1)/(n)[sec^2""(pi)/(4n)+sec^2""(2pi)/(4n)+.......

    Text Solution

    |

  5. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  6. Let y(x) be a solution of (1+x^2)"" (dy)/(dx)+2xy-4x^2=0 and y(0)=-1. ...

    Text Solution

    |

  7. The law or motion of a body moving along a straight line is x=(1)/(2)...

    Text Solution

    |

  8. Number of common tangents of y=x^2" and " y=-x^2+4x-4 is

    Text Solution

    |

  9. If |{:(-1,7,0),(2,1,-3),(3,4,1):}|=A" then"|{:(13,-11,5),(-7,-1,25),(-...

    Text Solution

    |

  10. If ar=(cos2rpi+isin2rpi)^((1)/(9)), then the value of |{:(a1,a2,a3),(a...

    Text Solution

    |

  11. If Sr=|{:(2r,x,n(n+1)),(6r^2-1,y,n^2(2n+3)),(4r^3-2nr,z,n^3(n+1)):}|, ...

    Text Solution

    |

  12. If the following three linear equations have a non-trivial solution, t...

    Text Solution

    |

  13. On R, a relation p is defined by xpy if and only if x-y is zero or irr...

    Text Solution

    |

  14. int dx/(secx+cosx)

    Text Solution

    |

  15. If f:Rto R be defined by f(x)=e^x" and " g:R toR be defined by g(x)=x^...

    Text Solution

    |

  16. In order to get a head at least once with probility ge0.9, the minimum...

    Text Solution

    |

  17. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |

  18. If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(...

    Text Solution

    |

  19. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  20. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |