Home
Class 12
MATHS
int sqrt (x^2-8 x+7) d xis equal to A)1...

`int sqrt (x^2-8 x+7) d x`is equal to
A)`1/2(x-4) sqrt(x^2-8 x+7)+9 log |x-4+sqrt(x^2-8 x+7)|+C`
B)`1/2(x-4) sqrt(x^2-8 x+7)+9 log | x+4+sqrt(x^2-8 x+7)+C`
C)`1/2(x-4) sqrt(x^2-8 x+7)+3 sqrt(2) log | x-4+sqrt(x^2-8 x+7)+C`
D)`1/2(x-4) sqrt(x^2-8 x+7)-9/2 log |x-4+sqrt(x^2-8 x+7)|+C`

A

1/2(x-4) sqrt(x^2-8 x+7)+9 log |x-4+sqrt(x^2-8 x+7)|+C'

B

1/2(x-4) sqrt(x^2-8 x+7)+9 log | x+4+sqrt(x^2-8 x+7)+C'

C

1/2(x-4) sqrt(x^2-8 x+7)+3 sqrt(2) log | x-4+sqrt(x^2-8 x+7)+C'

D

12(x-4) sqrt(x^2-8 x+7)-9/2 log x-4+sqrt(x^2-8 x+7)+C'

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

Similar Questions

Explore conceptually related problems

Integrate int sqrt(x^2-8x+7) dx

Evaluate int( d x)/(sqrt(x^2-4 x+2))

Choose the correct answer int sqrt(1+x^2) d x is equal to A) x/2 sqrt(1+x^2)+1/2 log |x+sqrt(1+x^2)|+C B) 2/3(1+x^2)^(3 / 2)+C C) 3/2 x(1+x^2)^(3 / 2)+C D) x^2/2 sqrt(1+x^2)+1/2 x^2 log |x+sqrt(1+x^2)|+C

int sqrt((1-x)/(1+x))dx is equal to a) sin^(-1)x + sqrt(1 - x^(2)) + C b) sin^(-1) x - 2 sqrt(1 - x^(2)) + C c) 2 sin^(-1) x - sqrt(1 - x^(2)) + C d) sin^(-1)x - sqrt(1 - x^(2)) + C

int(dx)/(x-sqrt(x)) is equal to a) 2log|sqrt(x)-1|+C b) 2log|sqrt(x)+1|+C c) log|sqrt(x)-1|+C d) (1)/(2)log|sqrt(x)+1|+C

inttan(sin^(-1)x)dx is equal to a) (1)/(sqrt(1-x^(2)))+c b) sqrt(1-x^(2))+c c) (-x)/(sqrt(1-x^(2)))+c d) -sqrt(1-x^(2))+c

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

int(log (x+sqrt(1+x^(2))))/(sqrt(1+x^(2)) )dx is equal to

V PUBLICATION-INTEGRALS-QUESTION BANK
  1. Integrate the function sqrt(1+x^2/9)

    Text Solution

    |

  2. Choose the correct answer int sqrt(1+x^2) d x is equal to A)x/2 sqrt(1...

    Text Solution

    |

  3. int sqrt (x^2-8 x+7) d xis equal to A)1/2(x-4) sqrt(x^2-8 x+7)+9 log ...

    Text Solution

    |

  4. Evaluate int0^2(x^2+1)dx as the limit of a sum

    Text Solution

    |

  5. Evaluate int0^2e^xdx as limit of a sum.

    Text Solution

    |

  6. Evaluate the following definite integrals as limits of sums. inta^b xd...

    Text Solution

    |

  7. Evaluate the following definite integrals as limit of a sum int0^5(x+1...

    Text Solution

    |

  8. Evaluate the following definite integrals as limits of sums. int2^3 x^...

    Text Solution

    |

  9. Evaluate the following definite integrals as limits of sums. int1^4 (x...

    Text Solution

    |

  10. Evaluate the following definite integrals as limits of sums. int-1^1 e...

    Text Solution

    |

  11. Evaluate the following definite integrals as limits of sums. int0^4 (x...

    Text Solution

    |

  12. Evaluate the following integrals: int4^9 sqrtx/(30-x^(3/2))^2 dx

    Text Solution

    |

  13. Evaluate the following integrals: int-1^1 (x+1) dx

    Text Solution

    |

  14. Evaluate the following integrals: int2^3 1/x dx

    Text Solution

    |

  15. Evaluate the definite integral int1^2(4 x^3-5 x^2+6 x+9) d x

    Text Solution

    |

  16. Evaluate the following integrals: int0^(pi/4) sin2xdx

    Text Solution

    |

  17. Evaluate the definite integral int0^(pi / 2) cos 2 x d x

    Text Solution

    |

  18. Evaluate the following integrals: int4^5 e^x dx

    Text Solution

    |

  19. Evaluate the following integrals: int0^(pi/4) tanx dx

    Text Solution

    |

  20. Evaluate the following integrals: int(pi/6)^(pi/4) cosecx dx

    Text Solution

    |