A community for students.
Here's the question you clicked on:
 0 viewing
lilMissMindset
 2 years ago
int. dx/ (x^2 +2x+10) using partial fraction. please.
lilMissMindset
 2 years ago
int. dx/ (x^2 +2x+10) using partial fraction. please.

This Question is Closed

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

TuringTest
 2 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
 2 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.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.