I know this might be easy but i forgot how to solve

  • Thread starter idiotblue
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In summary, the conversation covered solving an integration problem using a trig substitution, specifically u=sin(t), and also suggested using the substitution u=tan(x/2). The original question was about integrating from epsilon to pi-epsilon, and the term for the slope on an x-axis that runs parallel but never touches the x-axis was mentioned to be a horizontal asymptote with a y-value of 0.
  • #1
idiotblue
4
0
Please help me..

integrate this

[tex]\int[/tex][tex]\frac{1}{U\sqrt{1-U^2}}dU[/tex]
 
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  • #2
..Try using integration by parts and see if you can solve

u=[itex]\frac{1}{U}[/itex] find du/dx
[itex]\frac{dv}{dx}=\frac{1}{\sqrt{1-U^2}}[/itex] so get v=

and

[tex]\int u\frac{dv}{dx}dx=uv-\int v\frac{du}{dx}dx[/tex]
 
  • #3
It can be done straightforwardly with a trig substitution, like u=sin(t).
 
  • #4
Sorry but...

the original question wasintegration from [tex]\epsilon[/tex]to[tex]\pi-\epsilon[/tex]
[tex]\int[/tex][tex]\frac{1}{sinx}dx[/tex]

I tried to integrate it straight but i don't know how calculate cosec and cot...
 
Last edited:
  • #5
Try the substitution u = tan(x/2).
 
  • #6
:)thanks guys. I got it~
 
  • #7
What is the term for the slope on an x-axis that runs parallel but never actually touches the x axis?
 
  • #8
Get your own thread. But until you do 'horizontal asymptote with y value 0'.
 

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