Home
Class 12
MATHS
int0^1(dx)/(e^x+e^(-x)) is equal to...

`int_0^1(dx)/(e^x+e^(-x))` is equal to

A

`pi/4- tan^(-1)(e)`

B

`tan^(-1)(e)-pi/4`

C

`tan^(-1)(e)+pi/4`

D

`tan^(-1)(e)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2017

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

int (dx)/(e^(x)+e^(-x)) dx =

int (x-1)e^(-x) dx is equal to :

If int_0^1 f(x) dx = 1, int_0^1 xf(x) dx = a, int_0^1 x^2 f(x) dx = a^2 , then int_0^1 (a - x)^2 f(x) dx is equal to :

int1/(1+e^(x))dx is equal to

int_0^(oo) x e^(-x) dx=

int_0^(10) |x(x-1)(x-2)| dx is equal to

int e^(e^(e^(x)))e^(e^(x))dx is equal to :

int x^(3) e^(x^(2))dx is equal to :

int 2e^(x)(cos x -sinx)dx is equal to :

int_(0)^(4) (x + e^(2x)) dx .

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2018-MATHEMATICS
  1. int1/(1+e^x)dx is equal to

    Text Solution

    |

  2. int1/(sqrt(3-6x-9x^2))dxis equal to

    Text Solution

    |

  3. inte^(sinx)((sinx+1)/(secx))dx

    Text Solution

    |

  4. int(-2)^2|x cospix|dx is equal to

    Text Solution

    |

  5. int0^1(dx)/(e^x+e^(-x)) is equal to

    Text Solution

    |

  6. int0^(1//2)(dx)/((1+x^2)sqrt(1-x^2)) is equal to

    Text Solution

    |

  7. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  8. The area bounded by the line y = x,x axis and ordinates x = -1 and x =...

    Text Solution

    |

  9. The degree and order of the differential equation (d^2y)/(dx^2)=root3(...

    Text Solution

    |

  10. The solution of the differential equation x(dy)/(dx)-y=3 represents is...

    Text Solution

    |

  11. The integrating factor of (dy)/(dx)+y=(1+y)/x is

    Text Solution

    |

  12. If |vecaxxvecb|^2+|veca.vecb|^2=144and |veca|=4, then the value of |ve...

    Text Solution

    |

  13. If veca and vecb are mutually perpendicular unit vectors , then (3veca...

    Text Solution

    |

  14. If the vectors ahati+hatj+hatk,hati+bhatj+hatk and hati+hatj+chatk are...

    Text Solution

    |

  15. If veca=hati+lamdahatj+2hatk,vecb=muhati+hatj-hatk are orthogonal and ...

    Text Solution

    |

  16. The image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 is

    Text Solution

    |

  17. The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

    Text Solution

    |

  18. The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the ...

    Text Solution

    |

  19. The locus represented by xy+yz=0 is

    Text Solution

    |

  20. The feasible region of an LPP is shown in the figure. If z = 3x + 9 y ...

    Text Solution

    |