A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
integration question
anonymous
 4 years ago
integration question

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits\limits_{0}^{1} \frac{ x+1 }{ x ^{2}+6x+5 }dx\]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1\[x^2+ 6x + 5 = (x+3)^2 (3)^2 + 5 = (x+3)^2 9 +5 = (x+3)^2 1 \] \[\int\limits \frac{x+1}{(x+3)^{2}1} \]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1Wait. \[\frac{x+1}{(x+5)(x+1)} = \frac{A}{(x+5)} +\frac{B}{(x+1)} \] Better now. :D

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1For A: \(x= 5\) \[\frac{(5+1)}{(5+1)} =\frac{4}{4}=1 \]

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1Aren't you forgetting something @Mimi_x3 ?

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1For B: \(x= 1\) => \(0\) What am I forgetting?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{(x+1)}{(x+5)(x+1)} = \frac{1}{x+5}\]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1There is something wrong.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0isn't u's and du/dx supposed to come into play about now 0_o?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1\[\int\limits_{0}^{1}(x+5)^{1}dx\]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1I was right anyway :P just went the long way.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1Ya, exactly. You're so silly :P

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1That doesn't work hero, u = x+5

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1I can make u = x + 5 if I want or not. It doesn't matter. It will still work.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how would u solve (x+5)^1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no i guess that does not work

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1\[\int\limits\frac{1}{x+5}dx \] \[u = x+5 => \frac{du}{dx} = 1 => du = dx \] \[\int\limits\frac{1}{u} du = \ln(x+5) + C\] @hero: writing in that form won't work.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1I don't need @mimi_x3 ( a kid) to tell me things, lol

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@hero right, is absolute value for ln

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1I am not a kid!! It's the truth it won't work in the form; of if you want to use that retarded formula.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hero how would u go about doing \[\int\limits_{0}^{1} (x+5)^{1}\]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1Using that form; wont get you anyway; and get lost.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0fine mimi, can u tell me your way =/?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1She already did. @winterfez, also provided some good steps.

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1i typed up the solution!!! scroll upp!!

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1I think I deserve a medal for pointing @mimi_x3 in the right direction.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then with the limits would i be ln 6  ln 5?

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1Well, first I was not wrong,I just went the long way. I would have gotten the right anwer without your input. Secondly, can you please show us how you would integrate \[\int\limits(x+5)^{1} dx\]

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1Lol, because it's impossible :)

Mimi_x3
 4 years ago
Best ResponseYou've already chosen the best response.1Me want a medal as well!
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.