Recent content by wvcaudill2

  1. W

    Basic limit involving absolute value

    Im still not seeing the big picture here. Can you write out exactly what this problem should look like with all the steps at least partially worked out?
  2. W

    Basic limit involving absolute value

    Ok, I see what you are saying now, but when I graphed the parabola, I also saw that coming from the right-hand side, the values of x were also positive up until x=1.
  3. W

    Basic limit involving absolute value

    Im still not sure how it is you are coming to the statement that "if x comes from the left, then this expression is positive." Can you explain how you are getting this? Here is what I have now:
  4. W

    Basic limit involving absolute value

    I do not see how they should be switched. Can you explain your process in more detail?
  5. W

    Basic limit involving absolute value

    Ok, from the left-hand side of the limit, I got -2, and from the right-hand side I got 2, and when x-1=0 I got "does not exist." Is this right?
  6. W

    Basic limit involving absolute value

    Homework Statement lim as x\rightarrow-1 = \frac{|x^{2}-1|}{x^{2}+x} Homework Equations N/a The Attempt at a Solution Tried to write this as a piecewise function, but I got lost.
  7. W

    Integration by parts with arcsin(2x)

    I still don't see how this gets (1/8), and even then, what is the purpose of doing this, and where does the (2x) come from?
  8. W

    Integration by parts with arcsin(2x)

    Homework Statement \int xarcsin2xdx 2. The attempt at a solution Can someone explain to me what is happening at step 2? I understand how the integration by parts was done, but where does the (1/8) or (2x) come from?
  9. W

    Integrating √(4+9x²) using trigonometric substitution

    Okay, I got it now. Thanks for all your help!
  10. W

    Integrating √(4+9x²) using trigonometric substitution

    Okay, that's what I thought you wanted me to do. I am now left with this: (7/4)\int sec^{3}Θ = (3/4)secΘtanΘ - (3/4)ln\left|secΘ + tanΘ\right| + C Now I need to manipulate the fraction so as to get (4/3)\int sec^{3}Θ How do I do this?
  11. W

    Integrating √(4+9x²) using trigonometric substitution

    I am still not seeing it. Currently, I have \int sec^{3}Θ = (3/4)(secΘtanΘ - \int tan^{2}ΘsecΘ)
  12. W

    Integrating √(4+9x²) using trigonometric substitution

    Is there anyone that can help me finish this problem?
  13. W

    Integrating √(4+9x²) using trigonometric substitution

    Alright, I still seem to have a problem. I now have (3/4)(secθtanθ)-\int tan^{2}θsecθ Where do I go from here?