A community for students.
Here's the question you clicked on:
 0 viewing

This Question is Closed

Kelumptus
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{} \frac{t1}{t^{2}+4t+3} dt\] I'm kind of stuck on this one, i've tried a few different methods of u substitution but can't solve it.

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.4Does partial fraction help?

Kelumptus
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah i think that might be the answer. I have only done partial fractions in the form where there is a coefficient and a variable however. Not when there are two terms in the numerator.

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.4Hmmm... \[\frac{t1}{t^{2}+4t+3}=\frac{t1}{(t+1)(t+3)} = \frac{A}{t+1}+\frac{B}{t+3}\] So, A(t+3) + B(t+1) = t1 Comparing the coefficients, A+B = 1 3A +B = 1 Something like this?!

Kelumptus
 2 years ago
Best ResponseYou've already chosen the best response.0Yep... i think i jumped the gun when i gave up on trying to solve with partial fractions. I just revised my notes and i'll have a go using partial fractions now. I'll let you know how i go.

Kelumptus
 2 years ago
Best ResponseYou've already chosen the best response.0Awesome, partial fractions was the key. Thanks for that =)

sehanhasan
 2 years ago
Best ResponseYou've already chosen the best response.0Use partial fraction method..

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.1or you may use partial fractions alternatively, what i mean is t1 / t^2 +4t +3 = 1/2 ( 2t  2)/(t^2 +4t +3) =1/2 ( 2t +4 6)/(t^2 +4t +3) = 1/2 ( 2t +4)/(t^2 +4t +3)  1/2 (6/(t^2 +4t +3)) integrate separately, for 1st part, if you let denominator =z,. you directly get numerator = dz .. we are concerned with integrating 1/(t^2 +4t +3) that's also simple, we see we have 1/(t+1)(t+3) = 1/2 (2 / (t+1)(t+3)) =1/2 ( t+3  (t+1))/(t+1)(t+3)) =>now when you separate out, you'll directly be able to integrate ..hope that helps.. note that i've used partial fractions only,but in a different manner..
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.