Integration by substitution and by parts

  • #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)
 

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  • #2
arildno
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Rewrite:
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"
 
  • #3
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Or let [tex] u = e^{\sqrt{x}} [/tex] and [tex] dv = dx [/tex]
 

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