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taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits\limits\limits\limits_{}^{}\frac{ x ^{2}+x+2 }{ x ^{2}1 } dx \]
 one year ago

taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
Whenever I solve this I always get: A= 1 B= 2 then \[\int\limits\limits_{}^{} \frac{ 1 }{ x+1 } + \frac{ 2 }{ x1 } dx\] after substituting A and B and checking if I will still get the original integral, it's not the same anymore. How can I solve this integral?
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
did you do the long division first before u partial frac'ed it? u'll lose a few terms if you didn't do that.
 one year ago

taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
No. I immediately used partial fraction. Then I need to divide this first?
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
yes. you'll miss a few terms if u didn't(faced this problem once in my exam==costed me 5 precious minutes)
 one year ago

taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
Oh. Ok, I'll try dividing it first.
 one year ago

taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
This is a bit embarrassing, but I'm not sure if I got the quotient right. When I divide the two I get the answer of 1 with a remainder of \[\frac{ x+3}{ x ^{2}1 }\]
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
yeah. then proceed to partial frac it. then, after that you can integrate it.
 one year ago

taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
Just to be clear, after dividing I will get this? \[\int\limits_{}^{} \frac{ x+3 }{ x ^{2}1 }\] I will then proceed to partial fraction then integrate? Thanks!
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
\(\int (1+\frac{x+3}{x^2 1})dx \) .<this yup. You're welcome :)
 one year ago

taiga_aisaka Group TitleBest ResponseYou've already chosen the best response.0
Oh, I ignored the 1. Thank you very much again! :D
 one year ago
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