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

`int(e^(x))/(x+2){1+(x+2)log_(e)(x+2)}dx`

A

`e^(x)log_(e)(x+2)+C`

B

`(e^(x))/(x+2)+C`

C

`e^(x)(x+2)+C`

D

`e^(x)(x-2)+C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 84

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

  • NTA TPC JEE MAIN TEST 94

    NTA MOCK TESTS|Exercise MATHEMATICS |31 Videos

Similar Questions

Explore conceptually related problems

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

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

int log_(e)x^(2)dx

int2^(log_(e)x)dx

int x log_(e)(1+x)dx

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

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

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

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

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

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 93-MATHEMATICS
  1. If z lies on the circle |z-2i|=2sqrt(2), then the value of arg [(z-2)/...

    Text Solution

    |

  2. lim(xto0)((1+x)^(1/x)-e+(ex)/2)/(x^(2)) equals

    Text Solution

    |

  3. f(x)=sin|x+. f(x) is not differentiable at

    Text Solution

    |

  4. int(e^(x))/(x+2){1+(x+2)log(e)(x+2)}dx

    Text Solution

    |

  5. From origin chord of contact AB is drawn (point A and B lie on the cir...

    Text Solution

    |

  6. Consider the curves y=sqrt(x),2y+3=x. The value of the area bounded by...

    Text Solution

    |

  7. If theta=sin^(-1)x+cos^(-1)x-tan^(-1)x,1lex,ltoo Then the smallest in...

    Text Solution

    |

  8. Mean of 50 observations is calculated to be 4.04 when Mr. X took by mi...

    Text Solution

    |

  9. Let A(-2,2) and B(2,-2) be two points. P is a variable point such that...

    Text Solution

    |

  10. If (dy)/(dx)=(x^(2)+y^(2)+1)/(2xy) and y(2)=0 then the value of y(-2) ...

    Text Solution

    |

  11. The product of two of of the four roots of the equation x^(4)-18x^(3...

    Text Solution

    |

  12. If u=cos^(-1)(4x^(3)-3x) and v=tan^(-1)((sqrt(1-x^(2)))/x),1/2lt x lt ...

    Text Solution

    |

  13. A pen costs Rs. 11 and a notebook costs Rs. 13. the number of ways in ...

    Text Solution

    |

  14. If A be a 3xx3 matrix satisfying A[(0),(1),(0)]=[(-1),(2),(3)],A[(1)...

    Text Solution

    |

  15. If P,Q,R,S are the 4 points of intersection of the circle x^(2)+y^(2)-...

    Text Solution

    |

  16. For how many integer values of lamda the vectors veca=(2lamda)hati+(la...

    Text Solution

    |

  17. The value of int(0)^(2)(sqrt(1+x^(3)))+(root(3)(x^(2)+2x))dx is equal ...

    Text Solution

    |

  18. If tan^(2)theta=2tan^(2)phi+1, then find the value of cos 2 theta +sin...

    Text Solution

    |

  19. Consider the equation log(sqrt(2)sinx)(1+cosx)=2,x in [-(pi)/2,(3pi)/2...

    Text Solution

    |

  20. What is the number of elements in the set {(a,b):a^(2)+b^(2)=50,a,b,in...

    Text Solution

    |