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

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

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

shivam_bhalla
 3 years ago
Best 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

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

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

traile
 3 years ago
Best ResponseYou've already chosen the best response.0@shivam_bhalla she said partial fraction

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

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

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

shivam_bhalla
 3 years ago
Best 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

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

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

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

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

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

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1how 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

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

shivam_bhalla
 3 years ago
Best 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

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

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

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0you fail turing xD lol jk

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

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

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

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

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