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Homework Help: Integration by substitution and by parts

  1. Nov 30, 2006 #1
    I did a few problems in integration by parts. There are two that I just can't seem to get. I've tried every type of subsitution or part I can think of.

    1. e^sqrt(x)

    2. sin (ln x)
  2. jcsd
  3. Nov 30, 2006 #2


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    1. [tex]e^{\sqrt{x}}=\frac{2\sqrt{x}}{2\sqrt{x}}e^{\sqrt{x}}[/tex]
    2. [tex]\sin(\ln(x))=\frac{x}{x}\sin(\ln(x))[/tex]
    On 2., you'll get an integration "cycle"
  4. Nov 30, 2006 #3
    Or let [tex] u = e^{\sqrt{x}} [/tex] and [tex] dv = dx [/tex]
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