Home
Class 12
MATHS
The value of underset((-pi)/(2))overset(...

The value of `underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin x)) dx ` is :

A

`(pi)/(4)`

B

`pi`

C

`(pi)/(2)`

D

`(3 pi)/(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

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

Examples: int_(-(pi)/(2))^((pi)/(2))(1)/(1+e^(sin x))dx

The value of int_(-(pi)/(2))^((pi)/(2))[cot^(-1)x]dx

The value of int_(-(pi)/(2))^((pi)/(2))(1)/(e^(sin x)+1)dx equal to

Examples: int_(-(pi)/(2))^((pi)/(2))(x sin x)/(e^(x)+1)dx

The value of int_((pi)/(6))^((pi)/(2))((1+sin2x+cos2x)/(sin x+cos x))dx is equal to

The value of int_(-(pi)/(2))^((pi)/(2))sin{log(x+sqrt(x^(2)+1))}dx is

int_ (0) ^ (2000 pi) (1) / (1 + e ^ (sin x)) dx

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If alpha is a positive root of p(x)= x^2-x-2 Find lim(x rarr alpha^+) ...

    Text Solution

    |

  2. int(e^(2x)+2e^x-e^(-x)-1)e^(e^x+e^(-x))dx=g(x)e^(e^x+e^(-x)) , then fi...

    Text Solution

    |

  3. The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin...

    Text Solution

    |

  4. Let f (x) = x . [(x)/(2)] for - 10 lt x lt 10 , where [t] denotes the ...

    Text Solution

    |

  5. If the distance of line 2x-y+3=0 from 4x-2y+p=0 and 6x-3y+r=0 is respe...

    Text Solution

    |

  6. The number of four letters word while each consisting 2 distinct and t...

    Text Solution

    |

  7. The natural number m , for which the coefficient of x in the binomial ...

    Text Solution

    |

  8. Four different dice are thrown independently 27 times, then find the e...

    Text Solution

    |

  9. If alpha and beta be two roots of the equation x^(2) -64x+ 256=0 . ...

    Text Solution

    |

  10. The area ( in sq. units ) of the region A={(x,y):|x| + |y| le 1 , 2y^(...

    Text Solution

    |

  11. Find the general solution of the differential equation sqrt(1+x^(2)...

    Text Solution

    |

  12. Let L1 be a tangent to the parabola y^(2) = 4(x+1) and L2 be a tangent...

    Text Solution

    |

  13. If f(x+y)=f(x)f(y) and sum(x=1)^(oo)f(x)=2,x,y in N, where N is the se...

    Text Solution

    |

  14. Let I1= int0^1 (1-x^50)^100 dx and I2= int0^1(1-x^50)^101 dx and I1= l...

    Text Solution

    |

  15. Out of 11 consecutive natural numbers if three number are selected at ...

    Text Solution

    |

  16. A ray of light coming from the point (2,2sqrt(3)) is incident at an a...

    Text Solution

    |

  17. Which of the following points lies on the locus of the foot of perpe...

    Text Solution

    |

  18. The region represented by {z=x+iy in C:|z|-"Re"(z) le 1} is also given...

    Text Solution

    |

  19. The position of a moving car at time t is given by f(t)=at^(2) + bt+c,...

    Text Solution

    |

  20. lim(x to 1)""((int0^((x-1)) t cos(t) dt)/((x-1) sin(x-1)))

    Text Solution

    |