A community for students.
Here's the question you clicked on:
 0 viewing
leonasmart
 3 years ago
check below for question:using integration by substitution
leonasmart
 3 years ago
check below for question:using integration by substitution

This Question is Closed

leonasmart
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1335086576446:dw

TomLikesPhysics
 3 years ago
Best ResponseYou've already chosen the best response.1I 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.

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

bmp
 3 years ago
Best ResponseYou've already chosen the best response.3Remember 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.

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

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

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

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

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

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

leonasmart
 3 years ago
Best ResponseYou've already chosen the best response.0what did i do wrong??

bmp
 3 years ago
Best ResponseYou've already chosen the best response.3Remember 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 :)

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0You're absolutely correct!
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.