Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Evaluate the integral using the substitution rule. (Use C for the constant of integration.)
Integration of 2y/((2+3y^2)^3) dy
 one year ago
 one year ago
Evaluate the integral using the substitution rule. (Use C for the constant of integration.) Integration of 2y/((2+3y^2)^3) dy
 one year ago
 one year ago

This Question is Closed

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

kimmy0394Best ResponseYou've already chosen the best response.1
arent' the variables supposed to be the same?
 one year ago

kimmy0394Best ResponseYou've already chosen the best response.1
i'm not getting the answer. i thought it would be 6y/(3(2+3y^2)^3) +C
 one year ago

henpenBest ResponseYou've already chosen the best response.2
It cancels to\[\frac{1}{3}\int\limits\frac{du}{u^3}=\frac{1}{3}\frac{1}{4u^4}\]
 one year ago

kimmy0394Best ResponseYou've already chosen the best response.1
oh i forgot to integrate. i just got so confused on the substitution. oops! :) thanks a bunch!
 one year ago

kimmy0394Best ResponseYou've already chosen the best response.1
yeah, 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)
 one year ago

henpenBest ResponseYou've already chosen the best response.2
Sorry about that I half misread it as \[u^3\], not \[\frac{1}{u^3}\]. You're right
 one year ago
See more questions >>>
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.