Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
ggrree
Group Title
problem with integration:
http://gyazo.com/89f6c648f3cf2cf0b074b3c5ed419752
I know you're supposed to separate into partial fractions, but I get 5, 2 and 3 as the top numbers ABand C. could somebody walk me through just the separation of partial fractions?
 2 years ago
 2 years ago
ggrree Group Title
problem with integration: http://gyazo.com/89f6c648f3cf2cf0b074b3c5ed419752 I know you're supposed to separate into partial fractions, but I get 5, 2 and 3 as the top numbers ABand C. could somebody walk me through just the separation of partial fractions?
 2 years ago
 2 years ago

This Question is Open

myname Group TitleBest ResponseYou've already chosen the best response.0
First, A = 5 , B= 2, C = 1 [not 3] Then,\[\int\limits(3x^2+9x+5)/(x(x+1)^2)dx= \int\limits (5/x) ( 2/(x+1)) +( 1/(x+1)^2) dx\]Now, you can use the sum and difference rule of the integration\[\int\limits\limits(3x^2+9x+5)/(x(x+1)^2)= \int\limits\limits (5/x) dx \int\limits( 2/(x+1))dx +\int\limits( 1/(x+1)^2)dx\] Next, you can use the substitution to find the antiderivatives \[\int\limits\limits\limits(3x^2+9x+5)/(x(x+1)^2) =5\ln(x)  2\ln(x+1) + (1/x+1)\]
 2 years ago

mark_o. Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{}^{} (A/x) + \int\limits_{}^{} (B/(x+1) + \int\limits_{}^{} (C/(x+1)^2)\] w/c leads to A=5, B=2 and C=1 = 5ln x  2 ln(x+1)  (1/(x+1)) ans....
 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.