Home
Class 12
MATHS
int (e^(x)(x^(2)+1))/((1+x)^(2))dx=...

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

A

`(e^x)/(x+1)+C`

B

`(-e^x)/(x+1)+C`

C

`e^(x)((x-1)/(x+1))+C`

D

`e^(x)((x+1)/(x-1))+C`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER 2018

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|318 Videos
  • QUESTION PAPER 2019

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|160 Videos

Similar Questions

Explore conceptually related problems

int e^(x) (x -1)/((x + 2)^(4)) dx =

int e^(x).(x^(3) + x + 1)/((1 + x^(2))^(3//2)) dx =

int (x^(4) + x^(2) +1)/(x^(2) + 1) dx =

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

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

Find (i) inte^(x)(tan^(-1)x+1/(1+x^(2)))dx (ii) int((x^(2)+1)e^(x))/((x+1)^(2))dx

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

int (x^(2) +1)/(x^(4) + x^(2) + 1) dx =

Evalute the following integrals int e^(x) ((1)/(x) - (1)/(x^(2)) ) dx

int (e^(x))/(e^(x//2)-1)dx=

TS EAMCET PREVIOUS YEAR PAPERS-QUESTION PAPER 2015-MATHEMATICS
  1. If x^2+y^2=25 then log5[max(3x+4y)] is

    Text Solution

    |

  2. int (dx)/((x-1)sqrt(x^(2)-1))=

    Text Solution

    |

  3. int (e^(x)(x^(2)+1))/((1+x)^(2))dx=

    Text Solution

    |

  4. int ((x+1)dx)/(x(1+xe^(x)))=

    Text Solution

    |

  5. int(f(x)g'(x)-f'(x)g(x))/(f(x)g(x)) [ log (g(x))-log(f(x))]dx=

    Text Solution

    |

  6. int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

    Text Solution

    |

  7. int(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x...

    Text Solution

    |

  8. The area of the region described by {(x,y)//x^(2)+y^(2)le1 "and" y^(2)...

    Text Solution

    |

  9. The solution of (dy)/(dx) + (1)/(x) = (e^(y))/(x^(2)) is

    Text Solution

    |

  10. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

    Text Solution

    |

  11. ((1+cos""(pi)/(8)-isin""(pi)/(8))/(1+cos""(pi)/(8)+isin""(pi)/(8)))^(8...

    Text Solution

    |

  12. The number of four-digit numbers formed by using the digits 0,2,4,5 an...

    Text Solution

    |

  13. If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

    Text Solution

    |

  14. In a DeltaABC,(a+b+c)(b+c-a)=lambdabc, then

    Text Solution

    |

  15. In a DeltaABC,(a)/(tanA)+(b)/(tanB)+(C)/(tanC) is equal to

    Text Solution

    |

  16. The angle between the straight lines represented b (x^(2)+y^(2))sin^(2...

    Text Solution

    |

  17. The equation of the circle passing through (2, 0) and (0, 4) and havin...

    Text Solution

    |

  18. If x^(2)+y^(2)-4x-2y+5=0 "and" x^(2)+y^(2)-6x-4y-3=0 are members of a ...

    Text Solution

    |

  19. Let D be the domain of a twice differentiable function f. For all x in...

    Text Solution

    |

  20. If f is defined in [1,3] by f(x)=x^(3)+bx^(2)+ax such that f(1)-f(3)=0...

    Text Solution

    |