Home
Class 12
MATHS
Evaluate the following integrals: int ...

Evaluate the following integrals:
`int (2x+4)sqrt(x^(2)+4x+3)dx`

Text Solution

Verified by Experts

The correct Answer is:
`2/3(x^(2)+4x+3)^(3/2)+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION XII MOST IMPORTANT QUESTIONS FOR PRACTICE)|17 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int (dx)/(sqrt(x-x^2))

Evaluate the following integrals: int x sqrt(2x-3) dx

Evaluate the following integrals: int(dx)/(sqrt(x(1-2x)))

Evaluate the following integrals: int(2x-5)sqrt(x^2-4x+3)dx

Evaluate the following integrals: int(dx)/(sqrt(4-x^2))

Evaluate the following integrals: int(1)/sqrt(4+x^2)dx

Evaluate the following integrals : int(dx)/(sqrt(2x-x^(2)))

BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Evaluate the following integrals: int cos^3xe^(logsinx)dx

    Text Solution

    |

  2. Evaluate the following integrals: int 1/(x^(3)+1)dx

    Text Solution

    |

  3. Evaluate the following integrals: int (2x+4)sqrt(x^(2)+4x+3)dx

    Text Solution

    |

  4. Evaluate the following integrals: int(0)^(2)(x^(2)+3)dx

    Text Solution

    |

  5. Evaluate the following integrals: int(0)^(2)(x^(3)+1)dx

    Text Solution

    |

  6. Evaluate the following integrals: intcos^(4)2x dx

    Text Solution

    |

  7. Evaluate the following integrals: int x(logx)^(2)dx

    Text Solution

    |

  8. Evaluate the following integrals: int x cos^(-1)x dx

    Text Solution

    |

  9. Evaluate the following integrals: int (dx)/(x^(2)-6x+13)

    Text Solution

    |

  10. Evaluate the following integrals: int 1/(3x^(2)+13x-10)dx

    Text Solution

    |

  11. Evaluate the following integrals: int (x^(2)+x+1)/((x+2)(x^(2)+1))dx

    Text Solution

    |

  12. Find: int ((3sinphi-2)cosphi)/(5-cos^2phi-4sinphi)dphi

    Text Solution

    |

  13. Evaluate the following integrals: int(0)^(pi//2)(sinx-cosx)/(1+sinx c...

    Text Solution

    |

  14. Evaluate the following integrals: int(-pi//4)^(pi//4)sin^(2)x dx

    Text Solution

    |

  15. Evaluate the following integrals: int(-pi//4)^(pi//2)sin^(2)x dx

    Text Solution

    |

  16. Prove that: int(0)^(2pi)cos^(5)x=0

    Text Solution

    |

  17. Evaluate int(0)^(pi)log(1+cosx)dx

    Text Solution

    |

  18. Evaluate the following integrals : int1/(sqrt(x)-x)dx

    Text Solution

    |

  19. Evaluate the following integrals : int 1/ (x-sqrt(x))dx

    Text Solution

    |

  20. Evaluate the following integrals : int 1/(cos^(2)x+2sin^(2)x)dx

    Text Solution

    |