Home
Class 11
MATHS
Column I, a) int(e^(2x)-1)/(e^(2x)+1)d...

Column I, a) `int(e^(2x)-1)/(e^(2x)+1)dx` is equal to b) `int1/((e^x+e^(-x))^2)dx` is equal to c) `int(e^(-x))/(1+e^x)dx` is equal to d) `int1/(sqrt(1-e^(2x)))dx` is equal to COLUMN II p) `x-log[1+sqrt(1-e^(2x)]+c` q) `log(e^x+1)-x-e^(-x)+c` r) `log(e^(2x)+1)-x+c` s) `-1/(2(e^(2x)+1))+c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

int(x e^x)/((1+x)^2)dx is equal to

Evaluate: int(e^(2x))/(1+e^x)dx

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

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

int_(0)^(1)e^(2x)e^(e^(x) dx =)

Evaluate: int(e^x)/(1+e^(2x))dx

Evaluate: int(e^x)/(1+e^(2x))dx

int_(1)^(3)|(2-x)log_(e )x|dx is equal to:

int_- 1^1(e^(-1/ x))/(x^2(1+e^(-2/ x)))dx is equal to :

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

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The maximum value of y=1/(sin^6x+cos^6x) is

    Text Solution

    |

  2. The value of cos e c10^0+cos e c50^0-cos e c70^0 is

    Text Solution

    |

  3. Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e...

    Text Solution

    |

  4. Given that f(ntheta)=(2sin2theta)/(cos2theta-cos4ntheta), and f(theta)...

    Text Solution

    |

  5. If sin^2(theta-alpha)c a salpha=cos^2(theta-alpha)sinalpha=msinalphaco...

    Text Solution

    |

  6. Find the maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2)dot

    Text Solution

    |

  7. Find the range of f(x)=1/((cosx-3)^2+(sinx+4)^2)

    Text Solution

    |

  8. Find the maximum value of sqrt(3)sinx+cosx and x for which a maximum ...

    Text Solution

    |

  9. In triangle A B C , if /A=pi/4, then find all possible values of tanBt...

    Text Solution

    |

  10. If A=pi/5, then find the value of sum(r=1)^8tan(r A)*tan((r+1)A)dot

    Text Solution

    |

  11. Prove that (1+tan1^0)(1+tan2^0)......(1+tan45^0)=2^(23)dot

    Text Solution

    |

  12. Find the value of (cot25^0+cot55^0)/(tan25^0+tan55^0)+(cot55^0+cot100...

    Text Solution

    |

  13. If tanx+tan2x+tan3x=tanxtan2xtan3x then value of |sin3x+cos3x| is

    Text Solution

    |

  14. 16(costheta-cos(pi/8))(costheta-cos((3pi)/8))(costheta-cos((5pi)/8))(c...

    Text Solution

    |

  15. Let 0lt=a , b , c ,dlt=pi, where b and c are not complementary, such...

    Text Solution

    |

  16. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

    Text Solution

    |

  17. (sec2x-tan2x) equals a) tan(x-pi/4) b)tan(pi/4-x) c)cot(x-pi...

    Text Solution

    |

  18. Prove that cos65^0+cos115^0=0

    Text Solution

    |

  19. If sinA=sinBa n dcosA=cosB , then prove that sin(A-B)/2=0

    Text Solution

    |

  20. Each question has four choices a,b,c and d out of which only one is...

    Text Solution

    |