How to Solve the Integral 2x((1-x^2)^(1/2)) and Evaluate at x=1

[Wi_N]

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 can't 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?

 

[Charles Link]

You can use the chain rule for this integral. It is straightforward.

 

[LCKurtz]

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 can't 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 $u=1-x^2$?

 

[SteamKing]

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 can't 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.

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