A community for students.
Here's the question you clicked on:
← 55 members online
 0 viewing
 2 years ago
Can someone explain to me why is there a "u^2" ?
Here's the solution in wolfram alpha http://www.wolframalpha.com/input/?i=integrate+sqrt+%2832x%29+x%5E2
I understand how it used substitution to get (3u^2)^2 and the 1/4 but i can't seem to know where the u^2 came from...help T_T
 2 years ago
Can someone explain to me why is there a "u^2" ? Here's the solution in wolfram alpha http://www.wolframalpha.com/input/?i=integrate+sqrt+%2832x%29+x%5E2 I understand how it used substitution to get (3u^2)^2 and the 1/4 but i can't seem to know where the u^2 came from...help T_T

This Question is Closed

colorful
 2 years ago
Best ResponseYou've already chosen the best response.1\[u=\sqrt{32x}\implies du=\frac{dx}{\sqrt{32x}}=\frac{dx}u\]therefor\[dx=udu\]so then \[\sqrt{32x}dx=u\cdot(udu)=u^2du\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.