A community for students.
Here's the question you clicked on:
 0 viewing
appleduardo
 2 years ago
whats the integral of the following function?
appleduardo
 2 years ago
whats the integral of the following function?

This Question is Closed

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\frac{ dx }{ x ^{2} +2x + 1}\]

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0take \[x ^{2}+2x+1=(x+1)^{2}\] and proceed by substiution

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0did u get it..............

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0yeah! but i forgot to type 2 before x^2, :/ so the function is:\[\int\limits_{}^{}\frac{ dx }{ 2x^{2} + 2x +1 }\]

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0what i did is this: \[\frac{ 1 }{ 2 }\int\limits_{}^{}\frac{ dx }{ x ^{2} +2x +1}\] but then i get stuck!

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0then divide and multiply the whole denominator by 2\[2(x ^{2}+x+\frac{ 1 }{ 2 })\] then you need to make it into a square expression as\[x ^{2}+x*2*\frac{ 1 }{ 2 }+\frac{ 1 }{ 4 }\frac{ 1 }{ 4 }+\frac{ 1 }{ 2 }\]add 1/4 and subtract 1/4 then \[(x+\frac{ 1 }{ 2 })^{2}=x^{2}+x+\frac{ 1 }{ 4 }\]substitute and then solve

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0yeah thanks, i will try and ill post when im done :D

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0i got: \[2arc tg \frac{ x +0.5 }{ 0.5 } + c\] is that correct?

appleduardo
 2 years ago
Best ResponseYou've already chosen the best response.0(correction)\[arc tg \frac{ x +0.5 }{ 0.5 } + c\]

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0the question takes the form................\[\frac{ 1 }{ (x+\frac{ 1 }{ 2 })^{2}(\frac{ 1 }{ \sqrt{2} })^{2} } \]
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.