A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
how do you find intergal of 1/(y^2 1)
anonymous
 3 years ago
how do you find intergal of 1/(y^2 1)

This Question is Closed

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2partial fraction 1/(y^21) = A/(y+1) + B/(y1)

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2u have to find the values of A and B, first

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no sorry that would be a terrible idea

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.21/(y^21) = A/(y+1) + B/(y1) 1/(y^21) = ( A(y1) + B(y+1) )/((y+1)(y1)) 1/(y^21) = ((A+B)y + BA ) / (y^21) A+B = 0 BA = 1 by using elimination or subtitution, we get B=1/2 and A = 1/2 see ur integral becomes int (1/2)/(y+1) dy + int(1/2)/(y1) dy

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2for int (1/2)/(y+1) let u = y+1 du = dy it can be : int (1/2)/u du = 1/2 ln(u)

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2subtitute back that u = y+1 now, we have int (1/2)/u du = 1/2 ln(u) = 1/2 ln(y+1)

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2by same idea to solving int(1/2)/(y1) dy u = y1 du = du so, we have int(1/2)/u = 1/2 ln(u) = 1/2 ln(y1)

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2finally, we have the answer : 1/2 ln(y+1) + 1/2 ln(y1) + c
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.