Home
Class 12
MATHS
The value of the definite integral int(-...

The value of the definite integral `int_(-1)^(1) ln (1^(x) + 2^(x) + 3^(x) + 6^(x))`dx equals:

A

`(ln 2+ ln 3)/2`

B

`(ln2 + ln3)/3`

C

ln2 + ln3

D

`(ln2 + ln3)/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 60

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 63

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

The value of the definite integral int_(1)^(e)((x+1)e^(x).ln x)dx is

Evaluate the definite integrals int_(2)^(3)(1)/(x)dx

The value of the definite integral I=int_(-1)^(1)ln((2-sin^(3)x)/(2+sin^(3)x))dx is equal to

The value of definite integral int_(-1)^(1)(7-(2x-1)dx is equal to

The value of the definite integral,int_(1)^(oo)(e^(x+1)+e^(3-x))^(-1)dx is

Evaluate the definite integrals int_(0)^(1)(dx)/(1-x^(2))

The value of the definite integral int_(-1)^(1)(1+x)^(1//2)(1-x)^(3//2)dx equals

The value of the definite integral I=int_(0)^(1)root(3)(2x^(3)-3x^(2)+3x-1)dx=

Evaluate the definite integrals int_(2)^(3)(dx)/(x^(2)-1)

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 62-MATHEMATICS
  1. ("lim")(x to 0)(tan x sqrt(tanx) - sin x sqrt(sinx))/(x^(3) sqrt(x)) e...

    Text Solution

    |

  2. The range of 1/(3 sin theta + 4 cos theta + 2) is:

    Text Solution

    |

  3. The value of the definite integral int(-1)^(1) ln (1^(x) + 2^(x) + 3^(...

    Text Solution

    |

  4. Normal to a curve at a point P(x,y) meets the z-axis at G.. If distanc...

    Text Solution

    |

  5. The value of int(x(x^(4)-1))/((x^(8) + 3x^(4) +1)tan^(-1) (x^(2) + 1/x...

    Text Solution

    |

  6. 110 triangles can be formed by joning 10 points as vertices in which n...

    Text Solution

    |

  7. If tan (pi cos theta) = cot(pi sin theta), then cos^(2) (theta pi/4) ...

    Text Solution

    |

  8. If 2x = y^(1/3) + y^(-1/3), then the value of (x^(2)-1)/y. (d^(2)y)/(d...

    Text Solution

    |

  9. The angle of inclination of the top of the tower from point A on the g...

    Text Solution

    |

  10. Number of real roots of the equation: sin^(-1) sin x = cos^(-1) cos ...

    Text Solution

    |

  11. If (""^(20)C(1))/1 + (""^(20)C(3))/2 + (""^(20)C(5))/3 + ..... + (""^(...

    Text Solution

    |

  12. Find the number of value(s) of theta in the interval [0, pi], such tha...

    Text Solution

    |

  13. An aeroplane flies around a square, the sides of which measure 100 mil...

    Text Solution

    |

  14. The line 3x + 2y = 24 meets x - axis at B and the y -axis at A. The pe...

    Text Solution

    |

  15. If the minimum and maximum value of function: 3x^(4) - 8x^(3) + 12x^(2...

    Text Solution

    |

  16. If f is a differentiable function for all real x and f'(x) le 5AA x in...

    Text Solution

    |

  17. Area bounded by the curves: y^(2) = 4k(1)x AA k(1) in [1/8, 1/4], x^...

    Text Solution

    |

  18. If p = cos 55^(@) , q = cos65^(@), r = cos 175^(@), then the value of ...

    Text Solution

    |

  19. A bouquet from 11 different flowers is to be made so that it contains ...

    Text Solution

    |

  20. If (alpha, alpha -1) lies inside the ellipse 16x^2 + 9y^2 - 16x = 0 th...

    Text Solution

    |