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Simple integral

  1. Oct 19, 2013 #1
    Hi all, I am attempting to learn calculus in my spare time. Very short question. What rule do you use to solve ∫(52x^7/2-66x^5/2+22^3/2)/sqrt(x)? Could you please walk me through it. sorry I didn't use LaTex, I don't know it.
     
  2. jcsd
  3. Oct 19, 2013 #2

    arildno

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    Split up the fraction, and simplify the powers of x first.
     
  4. Oct 19, 2013 #3
    what do you mean? I'm a total noob. How would I go about doing that?
     
    Last edited: Oct 19, 2013
  5. Oct 19, 2013 #4

    arildno

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    If you have a fraction (a+b+c)/d, you may write it as a/d+b/d+c/d

    Also, remember that [itex]\sqrt{x}=x^{\frac{1}{2}}[/itex]

    A question:
    You have a term in your numerator, 22^3/2.
    Should that have been: [itex]22x^{\frac{3}{2}}[/itex]?
     
  6. Oct 19, 2013 #5
    yes and thanks.
     
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