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

wasiqssBest ResponseYou've already chosen the best response.0
yehh, it will have complex factors
 one year ago

shivam_bhallaBest 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
 one year ago

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

shivam_bhallaBest ResponseYou've already chosen the best response.2
You can eaily prove the above by substituting x = atan(theta)
 one year ago

traileBest ResponseYou've already chosen the best response.0
@shivam_bhalla she said partial fraction
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
but it cannot be done with partial fraction if it cannot be factored
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
traile , it willl become very complex then
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
yeah, im supposed to use that, partial fraction
 one year ago

shivam_bhallaBest 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
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
lil miss it will only have complex factors
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
there is either a typo, or it's impossible
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
I mean that using partial fractions is impossible... or at least redundant
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
what am i going to do about this problem then?
 one year ago

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

TuringTestBest 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
 one year ago

traileBest ResponseYou've already chosen the best response.0
do you think quadratic factors can be use
 one year ago

shivam_bhallaBest 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
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
like I said then, it's just redundant
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
by impossible, I meant that the operation is useless, as you just said
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
you fail turing xD lol jk
 one year ago

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

lilMissMindsetBest ResponseYou've already chosen the best response.0
yea. im quite sure i typed it right.
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
let's ignore the partial fraction thingy then.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
then shivam bhalla has shown you the right way do you know trig substitution integrals?
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
yeah. i'm sorry, i'll do it using trig substitution. thank you so much.
 one year ago
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