Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
emz13
Group Title
How do i find the integral(or antiderivative) of (3x)(x^26x)^5
 8 months ago
 8 months ago
emz13 Group Title
How do i find the integral(or antiderivative) of (3x)(x^26x)^5
 8 months ago
 8 months ago

This Question is Closed

myininaya Group TitleBest ResponseYou've already chosen the best response.2
let u=the inside of nastier part.
 8 months ago

emz13 Group TitleBest ResponseYou've already chosen the best response.0
What do you mean?
 8 months ago

eashy Group TitleBest ResponseYou've already chosen the best response.1
u=x^26x du=2x6=2(x3)
 8 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
du=2(3x) dx du/2=(3x)dx
 8 months ago

emz13 Group TitleBest ResponseYou've already chosen the best response.0
What do I do with the 3x though?
 8 months ago

eashy Group TitleBest ResponseYou've already chosen the best response.1
replace (3x)dx with 1/2 du
 8 months ago

emz13 Group TitleBest ResponseYou've already chosen the best response.0
Why do I replace it with 1/2 du?
 8 months ago

eashy Group TitleBest ResponseYou've already chosen the best response.1
you want to convert the integral from integral(f(x)dx) to integral(f(u)du) if u=x^26x, then u'(x)=du/dx=2(x3). thus du=dx u'(x)=2(x3)dx thus 1/2*du=(3x)dx the original integral is integrate( (3x)(x^26x)^5 dx) =integrate( u^5 (3x)dx) =integrate ( u^5*(1/2) du) after integrating, convert back to x using the fact that u=x^26x
 8 months ago

emz13 Group TitleBest ResponseYou've already chosen the best response.0
OH! okay I understand now. Thank you!!
 8 months 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.