A community for students.
Here's the question you clicked on:
 0 viewing
baldymcgee6
 3 years ago
How to setup this integral with partial fractions..?
baldymcgee6
 3 years ago
How to setup this integral with partial fractions..?

This Question is Closed

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358744328225:dw

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0just have to set it up, don't have to actually integrate it. :)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2x(x^61) =x(x^3+1)(x^31)

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0\[\LARGE{\int\limits \frac{ 1 }{ x^7  x }dx}\]

kirbykirby
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1358744642346:dw

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2do you know general formulas for a^3+b^3 and a^3b^3..

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0so how would this spit into partials?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2if there is quadratic equation in denominator, which cannot be factorized, then in numerator, it'll be linear expression, Ax+B...

kirbykirby
 3 years ago
Best ResponseYou've already chosen the best response.1For x^31 and x^3+1 you can use Long polynomial division by finding a factor (xa) where a is a root of the polynomial

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2so, whats x^3+1=... ? x^31=.... ?

kirbykirby
 3 years ago
Best ResponseYou've already chosen the best response.1I never learnt the general formula for a^3+b^3. I think it's easier to do polynomial division because it will work for higher powers

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0x^3 +1 = (x+1)(x^2x+1)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2so, above x^2x+1 will come a linear expression like Ax+B and above linear terms like x, x(x+1), constants like C,D,E ... will come.

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0@kirbykirby polynomial division of what and what?

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0x^3 1 = (x1)(x^2+x+1)

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0okay, i'll try this

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2so, you have 5 factors, out of which 2 is quadratic.

kirbykirby
 3 years ago
Best ResponseYou've already chosen the best response.1for x^3+1, you find the factors of the constant (here, its 1) and find which one = 0 when you plug it into your xterms. So, 1 works: ((1)^3+1) = 0. So, the factor that divides the polynomial is always of the form (xa). So, (x(1)) = (x+1). Then divide x^3+1 into x+1

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358745155474:dw

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0@kirbykirby that is useful to know rather than memorizing these formulas.

baldymcgee6
 3 years ago
Best ResponseYou've already chosen the best response.0thanks for the help guys!

kirbykirby
 3 years ago
Best ResponseYou've already chosen the best response.1It's often called the "Factor Theorem". http://en.wikipedia.org/wiki/Factor_theorem
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.