A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Evaluate the integral using the substitution rule. (Use C for the constant of integration.)
Integration of 2y/((2+3y^2)^3) dy
anonymous
 3 years ago
Evaluate the integral using the substitution rule. (Use C for the constant of integration.) Integration of 2y/((2+3y^2)^3) dy

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits \frac{2y}{(2+3y^2)^3} dy\] \[ u=2+3y^2\] \[\frac{du}{dy}=6y \Rightarrow dy=\frac{du}{6y}\] \[\Rightarrow \int\limits \frac{2y}{(u)^3} \frac{du}{6y}\]You can do the rest

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0arent' the variables supposed to be the same?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i'm not getting the answer. i thought it would be 6y/(3(2+3y^2)^3) +C

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It cancels to\[\frac{1}{3}\int\limits\frac{du}{u^3}=\frac{1}{3}\frac{1}{4u^4}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh i forgot to integrate. i just got so confused on the substitution. oops! :) thanks a bunch!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, it was wrong. remember that 1/u^3 is the same as u^3. thus the integration of u^3 is u^2 / 2 or 1/ (2u^2)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry about that I half misread it as \[u^3\], not \[\frac{1}{u^3}\]. You're right
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.