Home
Class 12
MATHS
If int sin^-1 ((2x + 2)/sqrt(4x^2 + 8x +...

If `int sin^-1 ((2x + 2)/sqrt(4x^2 + 8x + 13)) dx = (x + 1) tan^-1 ((2x+2)/3) + lambda In (4x^2 + 8x + 13) + c`, then the value of `-4lambda` must be

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

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

If f(x)={((8^x-4^x-2^x+1^x)/x^2, x gt 0),(e^x sinx + pi x + lambda In4, x le 0):} is continuous at x = 0, then the value of e^lambda must be

int ((2x+1)dx)/(sqrt(x^(2)+4x+3))

If the lines 3x^(2)-4xy +y^(2) +8x - 2y- 3 = 0 and 2x - 3y +lambda = 0 are concurrent, then the value of lambda is

int ((x^2 -1)dx)/((x^4 + 3x^2 + 1) tan^-1((x^2 + 1)/x)) = k logabs(tan^-1((x^2 +1)/x)) + c

If int (cos^(4)x)/(sin^(2)x) dx = - k (x/2 + 1/12 sin 2x + 1/3 cot x) + c , then the value of k is -

Evaluate int ((8x+13)/sqrt(4x+7)) dx

Evaluate: int(2x+3)/(sqrt(x^2+4x+1))dx

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

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If int (4e^x + 6e^-x)/(9e^x - 4e^-x) dx = Ax + B loge(9e^(2x) - 4) + c...

    Text Solution

    |

  2. int (cos^3 x + cos^5 x)/(sin^2 x + sin^4 x) dx equals

    Text Solution

    |

  3. If int sin^-1 ((2x + 2)/sqrt(4x^2 + 8x + 13)) dx = (x + 1) tan^-1 ((2x...

    Text Solution

    |

  4. Evaluate for m in N , int(x^(3m)+x^(2m)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx...

    Text Solution

    |

  5. Evaluate: int(cos^4x)/(sin^3x(sin^5x+cos^5x)^(3/5))dx

    Text Solution

    |

  6. Evaluate: int sqrt(1+cosecx dx)

    Text Solution

    |

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

    Text Solution

    |

  8. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

    Text Solution

    |

  9. Evaluate: int(x^3)/(sqrt(x^2+1))dx

    Text Solution

    |

  10. Evaluate : int(2x)/((1-x^2)sqrt(x^4-1))dx

    Text Solution

    |

  11. Evaluateintsqrt(secx-1)dx, 0ltxltpi/2

    Text Solution

    |

  12. Evaluate: int((1-xsinx)dx)/(x(1-x^3e^(3cosx)))

    Text Solution

    |

  13. Evaluate: If intcos^nxdotdx prove that In=1/n(cos^(n-1)xsinx)+((n-1)/n...

    Text Solution

    |

  14. Evaluate : int (xdx)/sqrt(1+x^4)

    Text Solution

    |

  15. Evaluate: int(e^(tan^(-1)x))/((1+x^2))[(sec^(-1)sqrt(1+x^2)+cos^(-1)(...

    Text Solution

    |

  16. int(sqrt(x-1))/(xsqrt(x+1))dx is e q u a l to ln|x-sqrt(x^...

    Text Solution

    |

  17. IfI=int(dx)/((2a x+x^2)^(3/2)),then I is equal to (a)-(x+a)/(sqrt(2a ...

    Text Solution

    |

  18. If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) ...

    Text Solution

    |

  19. inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dx is equal to (a)e^xtan(pi/4-x...

    Text Solution

    |

  20. The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(...

    Text Solution

    |