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

Homework Statement

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

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?

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

LCKurtz
Homework Helper
Gold Member

Homework Statement

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

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##?

SteamKing
Staff Emeritus
Homework Helper

Homework Statement

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

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.