Integration by Substitution: (x^2)/(sqrt(1+x)) dx

[da man]

Integrate by using substitution:

integral (x^2)/(sqrt(1+x)) dx

 

[ksdhart2]

What are your thoughts? What have you tried? For instance, your title says "Integration by Substitution." Which expression in x did you pick for your u-value? What is the derivative of u with respect to x? How does using this substitution simplify the integral? Please re-read the Read Before Postinghttps://www.freemathhelp.com/forum/threads/41538-Read-Before-Posting!! thread that's stickied at the top of every sub-forum and comply with its mandates, and please share with us any and all work you've done on this problem, even the parts you know for sure are wrong. Thank you.

 

[Deleted member 4993]

(x^2)/(sqrt(1+x)) dx

u = sqrt(1-x)

x = f(u) = ?

dx = ?