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lilMissMindset
Group Title
int. dx/ (x^2 +2x+10) using partial fraction. please.
 2 years ago
 2 years ago
lilMissMindset Group Title
int. dx/ (x^2 +2x+10) using partial fraction. please.
 2 years ago
 2 years ago

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.Sam. Group TitleBest ResponseYou've already chosen the best response.0
you can't factor that
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.0
best approach is to complete the square and then trig substitution
 2 years ago

wasiqss Group TitleBest ResponseYou've already chosen the best response.0
yehh, it will have complex factors
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
@lilMissMindset To complete the square x^2 +2x+10= x^2+2x+1+9 = (x+1)^2 +3^2 \[\int\limits_{}^{}\frac{dx}{(x+1)^2+3^2}\] Now complete the rest
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
Remember \[\int\limits_{}^{}\frac{dt}{x^2+a^2} = \frac{1}{a} \tan^{1}(\frac{x}{a})\]
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
You can eaily prove the above by substituting x = atan(theta)
 2 years ago

traile Group TitleBest ResponseYou've already chosen the best response.0
@shivam_bhalla she said partial fraction
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
but it cannot be done with partial fraction if it cannot be factored
 2 years ago

wasiqss Group TitleBest ResponseYou've already chosen the best response.0
traile , it willl become very complex then
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
yeah, im supposed to use that, partial fraction
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
@LOL, whjy do you want to complicate things when there is a aeasier method available. If you still insist on partial fraction, then it is fine
 2 years ago

wasiqss Group TitleBest ResponseYou've already chosen the best response.0
lil miss it will only have complex factors
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
there is either a typo, or it's impossible
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
I mean that using partial fractions is impossible... or at least redundant
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
what am i going to do about this problem then?
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
Take x+1 = t dx=dt You still get the same thing with partial fractions too
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
how would you do this with partial fractions? I don't see it... perhaps I am wrong though, it wouldn't be the first time :P
 2 years ago

traile Group TitleBest ResponseYou've already chosen the best response.0
do you think quadratic factors can be use
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
\[\frac{1}{t^2+9} = \frac{At+B}{t^2+9}\] we see a = 0, B=1 We again get back the same thing. So partail fraction approach should be useless
 2 years ago

shivam_bhalla Group TitleBest ResponseYou've already chosen the best response.2
*partial
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
like I said then, it's just redundant
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
by impossible, I meant that the operation is useless, as you just said
 2 years ago

wasiqss Group TitleBest ResponseYou've already chosen the best response.0
you fail turing xD lol jk
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
@lilMissMindset are you \(sure\) there isn't a typo in your post?
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
yea. im quite sure i typed it right.
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
let's ignore the partial fraction thingy then.
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
then shivam bhalla has shown you the right way do you know trig substitution integrals?
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
yeah. i'm sorry, i'll do it using trig substitution. thank you so much.
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
welcome!
 2 years ago
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