Home
Class 12
MATHS
If int(6x+3)/(sqrt(3-6x-9x^(2)))dx=-2/3f...

If `int(6x+3)/(sqrt(3-6x-9x^(2)))dx=-2/3f(x)+g(x)+c`
Then the domain of the function `f+g` is `[a,b]` then `|a/b|=`

Text Solution

Verified by Experts

The correct Answer is:
`3`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 112

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 120

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Let int(x^((1)/(2)))/(sqrt(1-x^(3)))dx=(2)/(3)g(f(x))+c then

The domain of the function f(x)=sqrt(5|x|-x^2-6) is

If f(x)=sqrt(|3^(x)-3^(1)|-2) and g(x)=tan pi x, then domain of fog(x) , is

The domain of the function f(x)=sqrt(4x-3)+sqrt(2x-6) is :

If f(x)=sqrt(2-x) and g(x)=sqrt(1-2x) ,then the domain of f[g(x)] is:

If f(x) = sqrt(x ^(2) - 5x + 4) & g(x) = x + 3 , then find the domain of (f)/(g) (x) .

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The domain of the function sqrt((f(x))/(g(x))) is

If int(x^(4)+1)/(x^(6)+1)dx=tan^(-1)f(x)-(2)/(3)tan^(-1)g(x)+C, then both f(x) and g(x) are odd functions f(x) is monotonic function f(x)=g(x) has no real roots int(f(x))/(g(x))dx=-(1)/(x)+(3)/(x^(3))+c

f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 113-MATHEMATICS
  1. Consider the A(-1,2,1) and B(4,3,5) are two given points. Then the pr...

    Text Solution

    |

  2. The value of lim(x to pi//6)(4-3sinx-2cos^(2)x)^(1/(2sinx-1)) is

    Text Solution

    |

  3. If x in R^(+) and n in N, we can uniquely write x=mn+r where m in W an...

    Text Solution

    |

  4. For x ge -1, let f(x)=int(0)^(pi//4)log(e)(1+xtanz)dz. Then value of f...

    Text Solution

    |

  5. The length of the diameter of the circle which passes through the poin...

    Text Solution

    |

  6. If P=(sin 300^(@).tan330^(@).sec420^(@))/(tan135^(@).sin210^(@).sec315...

    Text Solution

    |

  7. For x in [0,a) 4x+8cosx-4log[cosx(1+sinx)] then +tanx-2secxge6 larges...

    Text Solution

    |

  8. The value of tan^(-1)[(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-s...

    Text Solution

    |

  9. The locus of the point (h,k) for which the circle having centre at ori...

    Text Solution

    |

  10. The number of real roots of he equation 1+a(1)x+a(2)x^(2)+………..+a(n)x^...

    Text Solution

    |

  11. For al n in N and n ge 3, 2^(4n)-2^(n)(7n+1) is not divisible by

    Text Solution

    |

  12. If the 4 th term in expansion of (sqrt(1/(1/(x^(log(10)x+1))))+x^(1/12...

    Text Solution

    |

  13. Let the words formed by the letters of word OPTS be arranged in dictio...

    Text Solution

    |

  14. Matrix M(r) is defined as M(r)=[(r,r-1),(r-1,r)],rin N. If sum(r=1)^...

    Text Solution

    |

  15. If the sum of the first n terms of the series sqrt(5)+sqrt(125)+sqrt...

    Text Solution

    |

  16. Two points A and B in argand plane represent z and z(1)=2(z+sqrt(3)+i)...

    Text Solution

    |

  17. If int(6x+3)/(sqrt(3-6x-9x^(2)))dx=-2/3f(x)+g(x)+c Then the domain of...

    Text Solution

    |

  18. Let f(x)=[(x^(2))/64+2]. Find the area in sq. units bounded by line y=...

    Text Solution

    |

  19. For the following observations 2,3,5,6,8,10,2,17,20,25. Find the mean ...

    Text Solution

    |

  20. Consider the differential equation (x+(x^(2))/(3!)+(x^(5))/(5!)+………)/(...

    Text Solution

    |