Integral of a function with a square root in denominator

  • #1

Homework Statement


integrate (xdx)/sqrt(1-x^2) on the integreal [2,5]


Homework Equations


integral u^n(du) = u^n+1/(n+1)


The Attempt at a Solution


I'm no good at using latex so I scanned in my work.

I get .716 but when I check with my calculator it comes out as 2.863
 

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Answers and Replies

  • #2


I see where I messed up. I was dividing u^1/2 by 2 instead of 1/2. Thanks anyways.
 
  • #3
fzero
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Two things:

[tex]\int u^{-1/2} du = \frac{u^{1/2}}{-\frac{1}{2}+1} = 2 \sqrt{u}.[/tex]

Also you forgot to change the limits of integration after making the change of variables.
 
  • #4


Two things:

[tex]\int u^{-1/2} du = \frac{u^{1/2}}{-\frac{1}{2}+1} = 2 \sqrt{u}.[/tex]

Also you forgot to change the limits of integration after making the change of variables.

Actually I think I did do that. Not sure if u can see on the side where i did u(2) =5 and u(5) = 26.
 

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