Home
Class 12
MATHS
If int(0)^(1)(1)/(e^(x)+e^(-x))dx = tan^...

If `int_(0)^(1)(1)/(e^(x)+e^(-x))dx = tan^(-1)p`, then : p =

A

`(e^(2)-1)/(e^(2)+1)`

B

`(e-1)/(e+1)`

C

`(1-e)/(1+e)`

D

`(e-1)/(1+e^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1) (dx)/(e^(x)+e^(-x))

int_(0)^(1)(e^(x))/(1+e^(2x))dx

int_(0)^(1)(e^(-x))/(1+e^(-x))dx

int_(0)^(1)(e^(-2x))/(1+e^(-x))dx=

int_(-1)^(1)(e^(x)-e^(-x))dx=

int_(0)^(1)e^(e^(x))(1+xe^(x))dx

int_(0)^(1)(e^(x))/((2+e^(x)))dx

int_(0)^(1)(e^(x)dx)/(1+e^(x))

int_(0)^(1)(e^(x))/((1+e^(2x)))dx

int_(0)^(1)x e^(x)dx=

MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
  1. int(-1)^(1)(d)/(dx)[tan^(-1)((1)/(x))]dx=

    Text Solution

    |

  2. If a, b, gt 0, then int(1)^(a)(1)/(x)dx + int(1)^(b)(1)/(x)dx=

    Text Solution

    |

  3. If int(0)^(1)(1)/(e^(x)+e^(-x))dx = tan^(-1)p, then : p =

    Text Solution

    |

  4. int(0)^(pi//2)(sin 8x.log(cot x))/(cos 2x)dx=

    Text Solution

    |

  5. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

    Text Solution

    |

  6. int(0)^(pi)(cos x)/(x^(4)+(pi-x)^(4))dx=

    Text Solution

    |

  7. If I(n)=int(0)^(pi//4)tan^(n)x dx, where n ge 2, then : I(n-2)+I(n)=

    Text Solution

    |

  8. Find the value of int0^1x(1-x)^ndx

    Text Solution

    |

  9. If inta^b x^3dx=0,a n d"I f"inta^b x^2dx=2/3,"f i n dr e a lv a l u...

    Text Solution

    |

  10. Evaluate the following: int0^(pi//4) (sin^2 x \ cos^2 x)/(sin^3x + cos...

    Text Solution

    |

  11. If f(x)=f(4-x), g(x)+g(4-x)=3 and int(0)^(4)f(x)dx=2, then : int(0)^(4...

    Text Solution

    |

  12. If f(a-x)=f(x) and int(0)^(a//2)f(x)dx=p, then : int(0)^(a)f(x)dx=

    Text Solution

    |

  13. Evaluate: int(-1/2)^(1/2)cosxlog(1-x)/(1+x)dx

    Text Solution

    |

  14. int(-pi)^(pi)(1-x^(2))sin x cos^(2)x dx=

    Text Solution

    |

  15. If {:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):} ...

    Text Solution

    |

  16. If 0 le alpha le 2pi and int(0)^(alpha)cos x dx = cos 2alpha, the : al...

    Text Solution

    |

  17. int(-2)^(3)[cot^(-1)((x-1)/(x+1))+cot^(-1)((x+1)/(x-1))]dx=

    Text Solution

    |

  18. If f(x)+f(pi-x)=1 and g(x)+g(pi-x)=1, then : int(0)^(pi)[f(x)+g(x)]dx=

    Text Solution

    |

  19. int(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

    Text Solution

    |

  20. If int(-3)^(2)f(x)dx=2 and int(2)^(5)[5+f(x)]dx=9, then : int(5)^(-3)f...

    Text Solution

    |