Home
Class 12
MATHS
int sqrt(x^(2)+2x+5)dx is equal to...

`int sqrt(x^(2)+2x+5)dx` is equal to

A

1.`(1)/(2)(x+1)sqrt(x^(2)+2x+5)+2 log|x+1+sqrt(x^(2)+2x+5)|+C`

B

2.`(x+1)sqrt(x^(2)+2x+5)+ log|x+1sqrt(x^(2)+2x+5|+C`

C

3.`(x+1)sqrt(x^(2)+2x+5)-2log|x+1+sqrt(x^(2)+2x+5)|+C`

D

4.`(x+1)sqrt(x^(2)+2x+5)+(1)/(2)log |x+1+sqrt(x^(2)+2x+5)|+C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017

    SUNSTAR PUBLICATION|Exercise PART-E|2 Videos

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

Similar Questions

Explore conceptually related problems

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

int sqrt(x^(2) + 4x - 5) dx .

int1/(sqrt(3-6x-9x^2))dx is equal to

int sqrt(4 - x^(2)) dx .

int1/(sqrt(3-6x-9x^(2)))dx is equal to

int_(-1)^(2) x|x| dx is equal to :

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

int sqrt(1 + 4x^(2)) dx .

int sqrt(x^(2) + 4x + 1) dx .

SUNSTAR PUBLICATION-K-CET- MATHEMATICS - 2017-MCQs
  1. int((x+3)e^(x))/((x+4)^(2))dx is equal to

    Text Solution

    |

  2. Evalute : int (cos 2 x - cos2 alpha)/(cos x - cos alpha)dx.

    Text Solution

    |

  3. int sqrt(x^(2)+2x+5)dx is equal to

    Text Solution

    |

  4. int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx is equal to

    Text Solution

    |

  5. int(-5)^(5)|x+2|dx is equal to

    Text Solution

    |

  6. int(-pi//2)^(pi//2)(dx)/(e^(sin x)+1) is equal to

    Text Solution

    |

  7. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

    Text Solution

    |

  8. Find the area of the region bounded by the curve y = x^(2) and the lin...

    Text Solution

    |

  9. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  10. The degree of the differential equation [1+((dy)/(dx))^(2)]^(2)=(d^(2)...

    Text Solution

    |

  11. General solution of differential equation (dy)/(dx)+y=1(y ne 1) is

    Text Solution

    |

  12. The integrating factor of the differential equation x.(dy)/(dx)+2y=x^(...

    Text Solution

    |

  13. If vec(a)=2hat(i)+lambda hat(j)+hat(k) and vec(b)=-hat(i)+2hat(j)-3hat...

    Text Solution

    |

  14. If vec(a),vec(b),vec(c ) are unit vectors such that vec(a)+vec(b)+vec(...

    Text Solution

    |

  15. If veca and vec b are unit vectors, then what is the angle between vec...

    Text Solution

    |

  16. Reflexion of the point (alpha, beta, gamma) in XY plane is

    Text Solution

    |

  17. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...

    Text Solution

    |

  18. The distance of the point (-2, 4, -5) from the line (x +3)/(3)= (y - 4...

    Text Solution

    |

  19. A box has 100 pens of which 10 are defective. The probability that out...

    Text Solution

    |

  20. Two events A and B will be independent if

    Text Solution

    |