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Math Help - Integration

  1. #1
    Newbie
    Joined
    Dec 2009
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    Integration

    I am having trouble with the following question:

    Complete the square in the quadratic expression q which is given by

    q=16x^2+32x+17

    and use this to evaluate the following integral

    int(1/sqrt(16x^2+32x+17)dx)

    (the integral of one over the square root of (16x^2+32x+17))


    This is just way over my head...

    I tried to solve 16x^2+32x+17=0, and I got
    x1= -1 + 0.25*i
    x2= -1 - 0.25*i
    which wasn't very helpful.

    q can also be rewritten as (x + 1)(x + 1) + 0.0625, but again, I don't know where to go from here...

    And help would be greatly appreciated
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  2. #2
    Junior Member piglet's Avatar
    Joined
    Feb 2010
    Posts
    60
    Quote Originally Posted by aspotonthewall View Post
    I am having trouble with the following question:

    Complete the square in the quadratic expression q which is given by

    q=16x^2+32x+17

    and use this to evaluate the following integral

    int(1/sqrt(16x^2+32x+17)dx)

    (the integral of one over the square root of (16x^2+32x+17))


    This is just way over my head...

    I tried to solve 16x^2+32x+17=0, and I got
    x1= -1 + 0.25*i
    x2= -1 - 0.25*i
    which wasn't very helpful.

    q can also be rewritten as (x + 1)(x + 1) + 0.0625, but again, I don't know where to go from here...

    And help would be greatly appreciated
    well to complete the square like you asked

    split up  q = 16x^2+32x+17 into  q = (16x^2+32x +16) + 1 which is equal to  (4x+4)^{2} + (1)^{2} The trick is to half the coefficient of x when you want to complete the square.

    Integral should be straight forward to solve then
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