Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
leonasmart
Group Title
check below for question:using integration by substitution
 2 years ago
 2 years ago
leonasmart Group Title
check below for question:using integration by substitution
 2 years ago
 2 years ago

This Question is Closed

leonasmart Group TitleBest ResponseYou've already chosen the best response.0
dw:1335086576446:dw
 2 years ago

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.1
I would set u=x^3. so du=3x^2dx so x^2dx=1/3 * du. So you can rewrite it as 1/3 * (u5)^0.5du and integrate that more easily. Of course you might wanna pull the 1/3 out and just integrate (u5)^0.5 du and than just put it back in the end when you resubstitute.
 2 years ago

leonasmart Group TitleBest ResponseYou've already chosen the best response.0
do the working out for me to c plzz
 2 years ago

bmp Group TitleBest ResponseYou've already chosen the best response.3
Remember what I said to you. Look outside the square root, you have x^2. There must be a c such that: cx^2 = du/dx for u = x^3  5. That would imply that 3x^2 = cx^2 > c = 3, so multiply by 3/3.
 2 years ago

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.1
I end up with: 2/9 * (x^35)^(3/2) + C
 2 years ago

bmp Group TitleBest ResponseYou've already chosen the best response.3
\[\frac{3}{3} \int\limits_{a}^{b}x^2\sqrt{x^3  5}dx = \frac{1}{3} \int\limits_{u}^{v}\sqrt{u}du = \frac{1}{3} \int\limits_{u}^{v}u^{\frac{1}{2}}du\]
 2 years ago

leonasmart Group TitleBest ResponseYou've already chosen the best response.0
wait u is x^35 rite? and u is 3x^2?
 2 years ago

bmp Group TitleBest ResponseYou've already chosen the best response.3
Yeah, du = 3x^2. That's what I said, I belive.
 2 years ago

bmp Group TitleBest ResponseYou've already chosen the best response.3
du = 3x^2dx to be more precise.
 2 years ago

bmp Group TitleBest ResponseYou've already chosen the best response.3
@TomLikesPhysics That is correct :)
 2 years ago

leonasmart Group TitleBest ResponseYou've already chosen the best response.0
what did i do wrong??
 2 years ago

bmp Group TitleBest ResponseYou've already chosen the best response.3
Remember that you have to divide by n+1, so you divide by 3/2. That's the same as multiplying by 2/3, so you have (1/3)(2/3) = 2/9. The rest is ok, well done :)
 2 years ago

Chlorophyll Group TitleBest ResponseYou've already chosen the best response.0
You're absolutely correct!
 2 years 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.