Integral 2x((1-x^2)^(1/2))

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Homework Statement


Integral 2x((1-x^2)^(1/2))

Homework Equations




The Attempt at a Solution


ive tried integration by parts, i tried substitution and i cant get it to work. i also need to figure the integral when x=1 and i keep getting 0 in the numerator. What is the best point of attack?
 

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  • #2
Charles Link
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You can use the chain rule for this integral. It is straightforward.
 
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LCKurtz
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Homework Statement


Integral 2x((1-x^2)^(1/2))

Homework Equations




The Attempt at a Solution


ive tried integration by parts, i tried substitution and i cant get it to work. i also need to figure the integral when x=1 and i keep getting 0 in the numerator. What is the best point of attack?
What happens when you try ##u=1-x^2##?
 
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SteamKing
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Homework Statement


Integral 2x((1-x^2)^(1/2))

Homework Equations




The Attempt at a Solution


ive tried integration by parts, i tried substitution and i cant get it to work. i also need to figure the integral when x=1 and i keep getting 0 in the numerator. What is the best point of attack?
From the way you've written the integrand, you don't have a denominator, so getting the numerator = 0 isn't that big a deal.

It's when the denominator = 0 that things blow up. :wink: :frown:


tsar-bomba1.jpg


 

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