# 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
Gold Member
2020 Award
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.