Home
Class 12
MATHS
Let int (4+3x)/(x^(3)-2x-4)= In|(x-k)/(s...

Let `int (4+3x)/(x^(3)-2x-4)= In|(x-k)/(sqrt(x^(2)+kx+1))|+C`, then `k^(2)+l^(2)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Multiple Correct Answer Type|2 Videos

  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Let int((4+3x)dx)/((x^3-2x-4))=ln|(x-k)/(sqrt(x^2+k x+1))|+C ,then(k^2+l^2)= (i) 8 (ii) 6 (iii) 0 (iv) 4

Consider int(3x^(4)+2x^(2)+1)/(sqrt(x^(4)+x^(2)+1))dx=f(x) . If f(1)=sqrt3 , then (f(2))^(2) is equal to

If 4sqrt(3sqrt(x^(2)))=x^(k), then k=

If lim_(x to 1)((e^(k)-1)sin kx)/(x^(2))=4 , then k is equal to

I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2))+C, then 'k is equal to:

int(dx)/(sqrt(3x^(3)+4x+7))=k log|(2x-3)+sqrt(9x^(2)+12x+21)|+c, then k=(i)(1)/(3)(ii)(1)/(sqrt(3))(iit)(2)/(sqrt(3)) (iv) (4)/(sqrt(3))

int(x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx is equal to

If l=int(dx)/(root(3)((x+1)^(2)(x-1)^(4)))=kroot(3)((1+x)/(1-x))+c , then k is equal to

CENGAGE-INDEFINITE INTEGRATION-Question Bank
  1. If int dx/(1+sqrt(x+1)+sqrt(x) ) = ax + bsqrtx+c int sqrt((x+1)/x)dx t...

    Text Solution

    |

  2. (4+x^(12))/((x^(6)-2x^(3)+2))dx = x^(alpha)/alpha +x^(beta)/gamma+delt...

    Text Solution

    |

  3. let f(x) =int (4+x^(12))/(x^(4)+x^(3)-7x^(2)-4x+16)dx = A/sqrt3 tan^(-...

    Text Solution

    |

  4. If curve f(x) = int x^(1)(2x^(3)+3x+4)^(3)(1+x+x^(3))dx passes through...

    Text Solution

    |

  5. If f(x) =(3(Inx)^(2)+(In x)^(4))/(x(1+(In x)^(2)-(Inx)^(3))^(2))dx and...

    Text Solution

    |

  6. If (sqrt(e^(7x)))/(root (4)(e^(2x)+e^(-2x)))dx = 1/k(e^(n)+1)^(beta/ga...

    Text Solution

    |

  7. If int(log(ex)e)(log(e^(2)x)e)(log(e^(3)x)e)dx/x = Alog |1+logx|+B log...

    Text Solution

    |

  8. Let int cos^(3)xdx = sin x +(sin^(3)x)/m + (sin^(5)x)/n+c, then n+2m i...

    Text Solution

    |

  9. If (In(ex^(x+1))+(In x^(sqrtx)))^(2)/(1+(x In x)(In e^(2)x^(x)))dx = f...

    Text Solution

    |

  10. If int (x^(6)+7x^(5)+6x^(4)+5x^(3)+4x^(2)+3x+1)e^(x)dx is equal to sum...

    Text Solution

    |

  11. int ((x^(6)-4)dx)/((x^(6)+2)^(1/4)x^(4)) = (1(x^(6)+2)^(m))/x^(n)+C, t...

    Text Solution

    |

  12. Let int (4+3x)/(x^(3)-2x-4)= In|(x-k)/(sqrt(x^(2)+kx+1))|+C, then k^(2...

    Text Solution

    |

  13. If int (x^(8)-12x^(4)+4)/(x^(4)-4x^(2)+2)dx = x^(a)/a + (4x^(b))/b +2x...

    Text Solution

    |

  14. Suppose A = int dx/(x^(2)+6x+25) and B= int dx/(x^(2)-6x-27). If 12(...

    Text Solution

    |

  15. Let int dx/(x^(2008)+x) = 1/p In((x^(q))/(1+x^(r)))+C where p,q,r in N...

    Text Solution

    |

  16. If int ((2x+3)dx)/(x(x+1)(x+2)(x+3)+1)=C-1/(f(x)) where f(x) is of t...

    Text Solution

    |

  17. Let f(x) be the primitive of (3x+2)/(sqrt(x-9))w.r.t. x. If F(10) = 60...

    Text Solution

    |

  18. If int (Insqrtx)/x dx = g(x)+Cwhere g(1) = 0, then g(e^(6)) is equal ...

    Text Solution

    |

  19. int(sin^(2)x)/(sec^(2)x-cos^(2)x) dx = lambda x - 1/mu tan^(-1)((tanx)...

    Text Solution

    |

  20. If int e^(x)((x+2)/(x+4))^(2) dx = e^(x)((x-alpha)/(x+beta))+C where C...

    Text Solution

    |